Write two polynomial functions whose quotient will be the same degree as the divisor.

Answers

Answer 1

Answer:

[tex]f(x) = 6x^2 - 11x + 4[/tex]

[tex]g(x) = 3x - 4[/tex]

[tex]q(x) = 2x - 1[/tex]

Step-by-step explanation:

Represent the two polynomials with [tex]f(x)[/tex] and [tex]g(x)[/tex]

Let

[tex]f(x) = 6x^2 - 11x + 4[/tex]

[tex]g(x) = 3x - 4[/tex]

The quotient of two polynomial is the result of division between the two polynomials

Let q(x) represent the quotient polynomial

[tex]q(x) = \frac{f(x)}{g(x)}[/tex]

Where g(x) is the divisor

[tex]q(x) = \frac{6x^2 - 11x + 4}{3x - 4}[/tex]

Factorize the numerator

[tex]q(x) = \frac{6x^2 - 3x - 8x + 4}{3x - 4}[/tex]

[tex]q(x) = \frac{(3x -4)(2x - 1)}{3x - 4}[/tex]

[tex]q(x) = 2x - 1[/tex]

Notice that: q(x) and g(x) have the same degree of 1


Related Questions

which is longer 5 miles or 5 kilometers?​

Answers

Answer:

im pretty sure its kilometers

5 miles should be the answer

(35 points) Hey please help quickly. :(
Question 4
Point P is presently located at the origin. Move P, and observe how the rotated images change. Be sure that neither the images nor the preimage
overlap. Record the distances of the vertices of the preimage AABC from P. Do the same for the other images. Round all of your answers to the
hundredths place.
Thanks so much

Answers

Answer:here ya go boys

Step-by-step explanation:

Answer:

No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.

Step-by-step explanation:

Thanks to plato FOOOOOLLLLL

What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
(a) Show your work.
(b) is the product of 2x - 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7? Explain your
answer.

Answers

Answer:

a) 6x³ − 5x² − 39x + 35

b) no

Step-by-step explanation:

(2x − 5) (3x² + 5x − 7)

Distribute:

3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)

Distribute again:

6x³ − 15x² + 10x² − 25x − 14x + 35

Combine like terms:

6x³ − 5x² − 39x + 35

5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).

What is your dream car

Answers

Answer:

Toyota like my mom hajaha

Either a Ford like my dad or a Audi like my aunt lol

Translate the following into a verbal expression 3(4-x)+7

Answers

Answer:

3 times 4 minus a number, plus 7

3(4 - x) + 7

can someone help me answer this please

Answers

Answer:

x^2 -14x+49

Step-by-step explanation:

(x-7) ^2

(x-7)(x-7)

FOIL

first ( x*x) = x^2

outer -7x

inner -7x

last -7*-7 = 49

Add these together

x^2 -7x-7x+49

Combine like terms

x^2 -14x+49

A mine produces 42.5 tons of coal per hour. How much coal will the mine produce in 12.5 hours?

Answers

Answer:

531.25 tons per 12.5 hr

Step-by-step explanation:

42.5 per hr

× 12.5

531.25 tons per 12.5 hrs

Answer:

531.25 tons per 12.5 hr

Step-by-step explanation:

Somebody plz just answer number 11!!!
Thanks (Will mark as if correct brainliest)
:D

Answers

Answer:

27.38

Step-by-step explanation:

This is the answer because:

1) Standard form means to write the full number

2) First we have to multiply because we have to use order of operations

3) So do 2 x 10 which is 20

4) Then, do 7 x 1 which is 7

5) Next, do 3 x 0.1 which is 0.3

6) Finally, do 8 x 0.01

The new equation is:

20 + 7 + 0.3 + 0.08

This expression equals to 27.38

Therefore, the answer is 27.38

Hope this helps!

please help! having trouble with this question. will give 5 stars, thanks, and brainliest.

Answers

Answer:

-4 is the first,-64 is the second,0/14, 1.2,2/3,25/11,4,25

Step-by-step explanation:

evaluate 2x^2-3x+6 for x=4 ​

Answers

Answer:

999

Step-by-step explanation:

99l

Answer: 26

Step-by-step explanation:

x is equal to 4 so we will input 4 into the expression for x and solve.

2(4)^2 - 3(4) + 6

2(16) - 12 + 6

32 - 12 + 6

32 - 6 = 26

integrate x^2+5 please i need it fast

Answers

Answer:

[tex]\frac{1}{3}[/tex] x³ + 5x + c

Step-by-step explanation:

Using the power rule

∫ a[tex]x^{n}[/tex] dx = [tex]\frac{a}{n+1}[/tex] [tex]x^{n+1}[/tex]

Thus

∫ x² + 5 dx

= [tex]\frac{1}{3}[/tex] x³ + 5x + c ← c is the constant of integration

What is the factored form of x3+ 64?

Answers

Answer:

the answer is  (x – 4)(x2 + 4x + 16).

Answer:

Step-by-step explanation:

Give two real-world situations that could be represented by the value 30

Answers

Answer:

There are lot of real world situations that could be represented by the value of 30.

Step-by-step explanation:

1- I went to a office for interview they said to me they will give 30$ as a salary per day.

2- I went to a shop and bought a cofee box. shopkeeper demanded me 30$ for it.

These are the best examples of real-world situations that could be represented by the value 30

Answer:

here this is so u can give brainliest to him

Step-by-step explanation:

3x - 6 = 2(x + 4). find the value

Answers

3x -6 = 2(x + 4)
Multiply x by two and 4 by 2 to get
3x - 6 = 2x + 8
You want the x to be alone on one side so you add six on both sides to get rid of it to get:
3x = 2x + 14
You still don’t have just one x and it isn’t alone on one side, so you subtract 2x from both sides and get
x = 14

if f(x) = 5x -1 find f(1)

Answers

f(1)= 5(1)-1

f(1)= 5-1

f(1)= 4

Answer: 4

The answer will be 4
F(1)=5(1)-1
F(1)=4

What is 4 + 8 divided by 2 x (6 - 3) = ? what does ? equal? ? =__

Answers

Answer:

4+8/2*(6-3)

4 + 8/2* 3

4+4*3

4+12

16

Step-by-step explanation:

Ira's puppy weighed 3/4 pound. His kitten weighed 1/5 pound. What was the total weight of Ira's two pets? A. 19/20 pounds B. 4/9 pound C. 11/20 pound D. 19/20 pound

Answers

Answer:

3/4+1/5=19/20

Step-by-step explanation:

Answer:

19/20

Step-by-step explanation:

3/4+1/5

find the common denominator

15/20+4/20= 19/20

G is between E and H, and F is the midpoint of EG. If FG=2 and FH=8, find EH.

Answers

Answer:

EH = 10

Step-by-step explanation:

Because F is a midpoint, that means that FG and EF are congruent to each other. So, since FG = 2, that means that EF also equals 2. Because FH also includes FG, you can take the 2 from the FG, and then take that 2 away from 8. Now you know that GH = 6. All that is left is to add all 3 of the units together (2+2+6=10).

Please how to do this ​4−(3−5)= ​​

Answers

Answer:

Well, subtract 3 and 5 first, you get 2, then subtract 4-2. you get 2.

Step-by-step explanation:

(3-5) = 2

4-2=2

what is the least common denominator of the fractions 2/3 and 3/5? HELP PLEASE

Answers

Answer:what is the least common denominator of the fractions 2/3 and 3/5? HELP PLEASE

Step-by-step explanation:

Answer:

I think the LCM is 4/5

Step-by-step explanation:

HELP ME PLESA IM DESPO PAKJDCD PLS HELP

Answers

Answer:

144 cm²

Step-by-step explanation:

A prism's surface has 2 triangles & 3 rectangles.

In both the triangles , length of :

Perpendicular = 4 cm

Base = 6 cm

So , Area of both triangles = [tex]2(\frac{1}{2} * Base * Perpendicular) = 2(\frac{1}{2}* 6 * 4) = 24 cm^2[/tex]

In the 3 rectangles ,

Length = 8 cm

Width = 5 cm

So , Area of the rectangles = [tex]3( Length * Width) = 3(8 * 5) = 120 cm^2[/tex]

Hence the total surface area of the prism is = 120 + 24 =144 cm²

2m - n =8 Solve for n

Answers

Answer:

[tex] \boxed{\sf n = 2m - 8} [/tex]

Step-by-step explanation:

Solve for n:

⇒2m - n = 8

Subtract 2 m from both sides:

⇒2m - 2m - n = 8 - 2m

2m - 2m = 0:

⇒-n = 8 - 2 m

Multiply both sides by -1:

⇒-n × (-1) = (8 - 2m) × (-1)

⇒n = 2m - 8

The required value of n is equal to n = 2m - 8.

An expression is given in the question ; i.e., 2m - n = 8.

We have to find the value of the 'n' .

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the question ;

The given expression is 2m - n = 8.

Let's solve it to get the value of n.

The value of n can be find out , if we bring n to the left side of equal sign and 8 to the right of equal sign.

So ,

2m - n = 8 can be written as ;

2m = 8 + n

or

n = 2m - 8

Thus , the required value of n is equal to n = 2m - 8.

To learn more about algebra click here ;

brainly.com/question/26479183

#SPJ2

In 1979, zoologists estimated the number of fish in a local pond to be about
540. In 1989, 10 years later, the zoologists estimated that the number of
fish had increased to 990. Assuming that the fish population increased
linearly, how many fish lived in the pond in 1986? *
ann

Answers

Answer:

693 fish

Step-by-step explanation:

In 10 years, we can tell that the amount of fish increased by 1.833...(990 divided by 540) times. If we divide 1.833... by 10, we can find how much the pond increases by yearly. we get 0.1833... If we multiply that by 7 (because the gap between 1986 and 1979 is 7 years), we get 1.2833... So, if we multiply 540 by 1.28333..., we get 693 fish.

these days more and more appliances are talking to each other and with the internet. How will all this talk help in the development of AI systems​

Answers

Answer:

please mark brainliest!

Step-by-step explanation:

The internet today is driven by smartphones, tablets, and personal, given in the system Explanation, AI makes the appliances talk to each other by decoding.

Cuanto es la respuesta de -126=14k?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \text{k = - 9}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \text{ - 126 = 14k}}[/tex]

[tex] \text{step \: 1 \: : Intercambia los lados de la ecuación}[/tex]

[tex] \hookrightarrow{ \sf{14k = - 126}}[/tex]

[tex] \text{step \: 2 : Divide ambos lados por 14}[/tex]

[tex] \hookrightarrow{ \sf{ \frac{14k}{14} = \frac{ - 126}{14}}} [/tex]

[tex] \text{step \: 3 \: : Calcular}[/tex]

[tex] \hookrightarrow{ \sf{k = - 9}}[/tex]

[tex] \text{el valor de k es - 9}[/tex]

------------------------------------------------------------

Translation in English:

Step 1 : Swap the sides of the equation

Step 2 : Divide both sides by 14

Step 3 : Calculate

[tex] \sf{Hope \: i \: helped ! }[/tex]

[tex] \sf{Best \: regards !!}[/tex]

~[tex] \sf{TheAnimeGirl}[/tex]

Can you put that in English please thanks.

is it possible to build a triangle with side lengths of 5, 5, 10

Answers

no, the sum of the lengths of any two triangle must be greater the the length of the third side .

what do I do this is my lat question and I forgot how to do this

Answers

Multiple the number outside the (*) by both numbers within and then solve for each side.
Perimeter is all the sides added up together, so we would set this up like this:

P = (x) + 2(x+5) + 6(x-1) + 3(x+2)

You should know how to solve it from there, but this is the answer, hope it helped!

The volume of a pyramid, V, is calculated using the formula V = 1/3 AH, where A is the area of the base and H is the height of the pyramid.

Rearrange the formula to solve for the base area (A)

Answers

Answer:

A= 3V/H

Step-by-step explanation:

V=1/3 AH

multiply 3 on both sides

3V=AH

divide both sides by H

3V/H=A

HELP PLS I NEED THIS >3

Answers

Answer:

56

Step-by-step explanation:

Here, n = 8, r = 3

[tex] \huge \orange{ \because \: ^nC_r = \frac{n!}{r!(n - r)!} } \\ \\ \huge \therefore \: ^8C_3 = \frac{8!}{3!(8 - 3)!} \\ \\ \huge \therefore \: ^8C_3 = \frac{8 \times 7 \times 6 \times 5!}{3 \times 2 \times 1 \times 5!} \\ \\ \huge \red{ \boxed{\therefore \:^8C_3 = \purple{56}}}[/tex]

simplify 3x+6=18, please

Answers

Answer:

x = 4

Step-by-step explanation:

Step 1: Write out equation

3x + 6 = 18

Step 2: Subtract 6 on both sides

3x = 12

Step 3: Divide both sides by 3

x = 4

Answer:

4

Step-by-step explanation:

3x +6 =18

3x =18 - 6

3x =12

x =12 :3

x =4

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