One factor of the polynomial 6x3 − x2 + 8x + 5 is (2x + 1). What is the other factor of the polynomial? (Note: Use long division.)

Answers

Answer 1

Answer: (3x2 − 2x + 5)

Step-by-step explanation:

Answer 2

The other factor of the polynomial (3x+5) and (x-1).

What is long division method?

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too.

Given that, one factor of the polynomial 6x³-x²+ 8x+5 is (2x+1).

Using long division method, we get

2x+1|6x³-x²+8x+5|3x²+2x-5

    (-)6x³+3x²

_____________

          -4x²+8x+5

           4x²+2x

_____________

                 10x+5

                -10x-5

_____________

                     0

Now, the factors of quotient 3x²+2x-5 are

3x²+5x-3x-5

= x(3x+5)-1(3x+5)

= (3x+5)(x-1)

Therefore, the other factor of the polynomial (3x+5) and (x-1).

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Related Questions

−15 = 5(3q − 10) − 5q

Answers

Answer:

q = 3.5

Step-by-step explanation:

-15 = 5(3q - 10) - 5q

-15 = (5*3q + 5*-10) - 5q

-15 = 15q - 50 - 5q

-15 + 50 = 15q - 5q

35 = 10q

q = 35/10

q = 3.5

Check:

-15 = 5(3*3.5 - 10) - 5*3.5

-15 = 5(10.5 - 10) - 17.5

-15 = 5*0.5 - 17.5

-15 = 2.5 - 17.5

If M is the midpoint of XY, find the coordinates of X if M(-3, -1) and Y(-8, 6).

Answers

Answer

X(2, -8)

Step-by-step explanation:

-8 and -3 have a distance of 5

6 and -1 have a distance of 7

-3 + 5 = 2

-1-7 = -8

(2, -8) is the answer

The coordinates of the Point X will be -  X(2, -8).

The Mid - point of the line segment is at coordinates -  M(- 7.5, 0.5)

We have two coordinate points -  M(-3, -1) and  Y(-8, 6)

We have to find the coordinates of the Point X.

What is Mid - Point Theorem?

It states that a line with endpoint coordinates as - [x(1), y(1)] and

[x(2), y(2)] has its mid - point at the coordinates -

[tex](X_{m} ,Y_{m}) =[/tex] [tex](\frac{x(1) + x(2) }{2}, \frac{y(1) + y(2)}{2} )[/tex]

According to question, we have -

coordinates of Mid - Point = (- 3, -1)

coordinates of Y = (- 8, 6)

Using the Mid - Point formula -

-3 x 2 = x(1) - 8

x(1) = - 6 + 8

x(1) =  2

and

-1 x 2 = y(1) + 6

y(1) = -2 - 6

y(1) = - 8

Hence, the coordinates of the point X will be - X(2, -8)

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x² + 2y– xy2 - 7xy –8+ 3x’ – 7xy + y² + 3xy?

Answers

Answer:−xy2+x2−11xy+y2+3x+2y−8

Step-by-step explanation:

BRANLIEST!!! The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater
maximum value, and provide the ordered pair.
Function 1
f(t)
1.5
0.5
-05
-15

Function 2
f(x) = -x2 + 2x- 15
Function 1 has the larger maximum at (4,1).
Function 1 has the larger maximum at (1,4).
Function 2 has the larger maximum at (-14, 1),
Function 2 has the larger maximum at (1, -14)

Answers

Answer:

Function 2 has the larger maximum at 1, -14

Explanation:

When you graph the equation, you can find the maximum of function 2 at 1, -14

what is the value of x ?

Answers

Step-by-step explanation:

2(2x - 6) + 2(x + 3) = 26

4x - 12 + 2x + 6 = 26

4x + 2x -12 + 6 = 26

6x - 6 = 26

6x = 26 + 6

6x = 32

x =32/6

x = 5.3333

Answer:

Step-by-step explanation:

2(2x -6) + 2(x + 3) = 26

4x - 12 + 2x + 6 = 26

6x - 6 = 26

6x = 32

x = 32/6= 16/3

What is the first step in solving the equation.*
1 pont
2(x + 1) = 8x – 5

Answers

Answer:

Distribute

Step-by-step explanation:

The first step in solving this equation is distribute (get rid of parentheses):

2x + 2 = 8x -5

Hope this helps ^^

Distribution

You are gonna distribute 2( x+1 )

I'd love some help on this question. I do not understand how you would go about working this out, so please explain the working out. Thank you!!!​

Answers

Area = length x width and volume = length x width x height soo you would have to multiple 4 and 25 and that’s 100


What is 9x - 3(4x+8)?​

Answers

Answer:

-3x-24

Step-by-step explanation:

9x - 3(4x+8)

Distribute

9x - 12x - 24

Combine like terms

-3x -24

Answer: -3x-24

Step-by-step explanation:

Tom worked 48 hours last week and gets time-and-a-half pay for overtime. His regular pay is $32 per hour. a) How much does he make for an hour of overtime?

Answers

Answer:

$48

Step-by-step explanation:

From the question we know that;

His regular pay is $32 per hour.

Tom worked 48 hours last week and gets time-and-a-half pay for overtime.

Time and a half pay = 1.5

Hence, if Tom works for an hour of overtime, his pay for his overtime is calculated as:

= 1.5 × $32 × 1

= $48

Therefore, he was paid $48 for one hour of overtime.

PLEASE HELP...question says “Sylvia bought four pens for one dollar each and five folders for three dollars each. Write a numerical expression to represent this situation and then find the total cost in dollars”

What the hell im so confused

Answers

Answer:

y= 4(x) + 3(5x)

$19

Step-by-step explanation:

This is the second questsions!!! Please helpers!!

Answers

A) < is the answer

B) < is the answer

C) = is the answer

D) > is the answer

Brainliest?

Solve for y 2y - 11 > -19.

Answers

Answer:

Y>-4

Step-by-step explanation:

Add 11 to both sides and divide

Answer:

y > - 4

Step-by-step explanation:

Given

2y - 11 > - 19 ( add 11 to both sides )

2y > - 8 ( divide both sides by 2 )

y > - 4

8x-19 = -12x+61 What is x?

Answers

Answer:

x is 4

Step-by-step explanation:

Step one: Add 12x to both sides-

8x-19+12x=-12x+61+12x

20x-19=61

Step 2: add 19 to both sides

20x -19+19=61+19

20x=80

Step 3: divide both sides by 20

20x/20=80/20

x=4

305 divided by 5?
35 divided by 5?
305,000 divided by 15?

Answers

1) 61
2)7
3) 20,333.33333333333

1.Estimate square root 3

Answers

1.732 is the square root of 3

Please help, image is attached! Thanks.

Answers

When something is bisected, it is cut into two equal halves.

We know that SV cut RST into two parts.

Those two parts are RSV and VST

RSV = 64 and VST = 64

RST = RSV + VST = 64 + 64 = 128

The correct answer should be 128

Answer:

I.128

Step-by-step explanation:

Since SV bisected angle RST, the angle is split in two by equal parts, therefore RSV + VST = RST

64 + 64= 128

128°= RST

You are baking cookies for your class. There are 23 total students in your class and you have baked 12 cookies. Write and solve an equation to find the additional number x of cookies you need to bake in order to have 2 cookies for each student. Write your equation so that the units on each side of the equation are cookies per student.

Equation: The equation has to equal 2
=2
Number of cookies: x=


Please help Thank you

Answers

Answer:

12+2x=46     x=17 cookies

Step-by-step explanation:

First you are going to double the number of students because each student is getting 2 cookies. Then you will subtract 12 from 46 and that gets you 34. Then you will divide 2 by 34 to get how many cookies she needs to bake. 17 more cookies. To check your work plug in 17 by the x. so 2 times 17 is 34 plus 12 is 46 so that answer is correct.

The three straight paths, AB, BC, and AC meet each other at three points, A, B, and C. How do these points of intersection differ from each other? Explain the differences in terms of the angles that you see. Also look at the length of the side opposite each angle. What pattern do you se regarding the measurements? In what situation would all the points of intersection resemble one another? Modify the triangle in GeoGebra to help you with your answers.​

Answers

Answer:

The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.

Step-by-step explanation:

The angle of intersection of AB, BC and AC when, they meet each other at three points, are 54.48°, 81.83° and 43.65°.

What is the law of cosine?

When the three sides of a triangle is known, then to find any angle, the law of cosine is used. It can be given as,

[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

The three straight paths, AB, BC, and AC meet each other at three points, A, B, and C.

Difference between the points of intersection of A, B and C-

All the points of intersection of given angle A, B  and C keeps the different value as all the sides of the triangle is not equal.

The differences in terms of the angles-

The length of the angle C using the above formula,

[tex]5^2=4.24^2+6.08^2-2(4.24)(6.08)\cos (C)\\C=\cos^{-1}(0.581)\\C=54.48^o[/tex]

Similarly, the measure of angle B,

[tex]6.08^2=5^2+4.24^2-2(5)(4.24)\cos (B)\\B=\cos^{-1}(0.142)\\B=81.83^o[/tex]

The measure of angle A,

[tex]4.24^2=5^2+6.08^2-2(5)(6.08)\cos (A)\\A=\cos^{-1}(0.7235)\\A=43.65^o[/tex]

The length of the side opposite each angle-

The length of the side opposite to angle A is 4.24 units, side opposite to angle B is 6.08 units and side opposite to angle C is 5 units.

The pattern regarding the measurements-

All the sides and angles of the triangle are different from each other. This triangle ABC is a scalene triangle.

Situation in which all the points of intersection resemble one another-

When all the point of intersection of provided line intersect at a single point. Then all the points of intersection resemble one another.

Thus, the angle of intersection of AB, BC and AC when, they meet each other at three points, are 54.48°, 81.83° and 43.65°.

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Can someone please help me with this math problem I really need help and it’s due today. Please help

Answers

Answer: just divide and its prett easy from there

Step-by-step explanation:

Given: 5n - 42 - 12n: Prove: n = -6
Statements :

Reasons :

Answers

5*-6-42-12*12*-6=0
the answer is: 0

The formula for the volume V of a cylinder is , where r is the radius of the base and h is the height of the cylinder. Select the formula for h. Then select the height of a cylinder with a volume and a base with a radius of 3 cm

Answers

Answer:

h = 4 cm

Step-by-step explanation:

V = π r² h

where r = 3 cm

V = 36π cm³

solve for h

plugin values into the formula:

36π = π 3² h

h = 36π

      π 3²

h = 4 cm

Ashley wants to pour 97.94 grams of salt into a container. So far, she has poured 39.1 grams. How much more salt should Ashley pour?​

Answers

58.84 grams. 97.94 - 39.1 = 58.84 grams of salt

X. 3^2+x = 5 * 4 - X *


Your answer

Answers

Answer:

chicken

Step-by-step explanation:

pizza and fries and boom your done theres your answer I hope i helped you a lot!

Answer:

X= 11/2

Step-by-step explanation:


Is 5 a rational number or an irrational number?

Answers

Answer:

It is a rational number

Step-by-step explanation:

Answer:5 is a rational number

Step-by-step explanation:

Please help! Urgent!

Answers

Answer:

Distributive property is not applied currently in Step 1

Step-by-step explanation:

3(x + 15) = y

3x + 45 = y rather than 3x + 15 = y

A. B. ​ ​ 3(x+2) x+2 ​ =18 =6 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Add/subtract the same quantity to/from both sides (Choice B) B Add/subtract a quantity to/from only one side (Choice C) C Multiply/divide both sides by the same non-zero constant (Choice D, Checked) D Multiply/divide only one side by a non-zero constant

Answers

Answer:

C. Multiply/divide both sides by the same non-zero constant

A. Yes

Just Did It On Khan Academy

Step-by-step explanation:

To get equation A from equation B multiply/divide only one side by a non-zero constant option (C) Multiply/divide only one side by a non-zero constant is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Two linear equations:

A.   3(x + 2) = 18

B.    x + 2 = 18

In equation B multiply by 3 on one side:

3(x + 2) = 18

Thus, to get equation A from equation B multiply/divide only one side by a non-zero constant option (C) Multiply/divide only one side by a non-zero constant is correct.

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What’s 12 away from -6 on a number line?

Answers

Answer:

-18

Step-by-step explanation:

you add 12 and six together and you get 18. Then you put a negative sign in front of it

-18 , because u start with -6 and you count 12 spaces to the left

The sum of three consecutive integers is 267. What is the largest integer?

Answers

Answer:

i hope it helps you and best of luck : )♥

-2.49 = -5 + x
I'm confused lol please help​

Answers

Answer:

See Below

Step-by-step explanation:

Isolate x, so add 5 to each side

-2.49 =  -5 + x

+5.00    +5

3.49 = x

Answer:

x= 251/100

=2.51

How: -2.49=-5+x

              +5 =+5

          2.51=x

PLEASE HELP!!!Choose the name of the angle notated by the arc(SHOW WORK) A.MPO B.NPO C.LPM D.PLO

Answers

Answer:

B. NPO

Explanation:

Because P is the middle letter in the arc.

Answer: B. NPO

Step-by-step explanation: the angle has to be in middle

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