Create the polynomial which has roots 3and 2

Answers

Answer 1

Answer:

f(x) = x² - 5x + 6

Step-by-step explanation:

Given a root of a polynomial x = a then the factor is (x - a)

Here the roots are x = 3 and x = 2 , thus the corresponding factors are

(x - 3) and (x - 2)

The polynomial is then the product of the factors, that is

f(x) = (x - 3)(x - 2) ← expand using FOIL

      = x² - 5x + 6

Answer 2
Since this polynomial has answers 3 and 2, we can set up the equation (x-3)(x-2) = 0

That’s already our answer, but if you want it in standard form, We can use FOIL to multiply the 2 expressions:
(x-3)(x-2)
=x^2-3x-2x+6
=x^2-5x+6

Related Questions

Solve for the solution: 2m+1≥7

Answers

Answer:

m≥3

Step-by-step explanation:

Answer:

m≥3

Step-by-step explanation:

Try solving the equation 2x + 20 = 12x​

Answers

Answer:

x = 2

Step-by-step explanation:

2x + 20 = 12x

First, we have to put our exponent on the same side of our equation

2x + 20 = 12x

-2x            -2x

20 = 10x

Now, we have to divide by 10 on both sides to get our exponent on its own (x)

20 = 10x

÷10   ÷10

2 = x or x =2

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Algebra, help please ASAP

Answers

Answer:

a

Step-by-step explanation:

m*m= m^2

-15*2=-30

-15m+2=-13m

Answer:

a

Step-by-step explanation:

(m-15)(m+2)

Please help me with this question.

Answers

X=3/2 or 2x=3 i think that should work for you

Plz help quick this is due in 10 mins! Are they right? Questions are below!

Answers

Answer:

the first question is right the next about the sea level i think would be 7.92 then the last would be the value of x should be greater than or equal to -5

Step-by-step explanation:

Write the domain as an inequality!!!

Answers

Answer:  [tex]x \le -1[/tex]

=================================================

Explanation:

The domain is the set of all possible x values of a function.

The largest x can get is x = -1, since this x value applies to the x coordinate of the right most point on the curve. The filled in circle indicates we include this endpoint as part of the domain.

There is no smallest x value due to the arrow showing the curve goes on forever in that direction.

We can write the domain as [tex]-\infty < x \le -1[/tex] but it's better to write [tex]x \le -1[/tex]

Put another way: the domain consists of values that are -1 or smaller.

Helen has two more than twice the number of Gail's pokemon cards. If you increase the number of Gail's pokemon cards by 10, she will have the same number of pokemon cards as Helen has. How many pokemon cards does Gail have?

Answers

Answer:

Gail will have 8 cards before adding those 10, 18 if she added those 10.

Step-by-step explanation:

When Gail has 8 cards then Helen would have 18 cards, whicj is twice more than double that of Gail's.

Answer:over 10

Step-by-step explanation:

Get sticke bugged lol

4. Landon is cooking soup. He has 15 pinan of vegetable broth, 19 pints of milk, and 14 pints of tomato juice. How many gallons does Landon have, if 1 gallon = 8 pints? 6 gallons.​

Answers

Answer:

6 gallons

Step-by-step explanation:

1) add 15 and 19 to get 34

2) then add 34 and 14 to get 48

3) then divide 48 by 8 to get 6

Savannah loves to talk on her cell phone. She has $100 in her budget to pay this month’s cell phone bill. Her cell phone plan is $20 per month plus $0.10 per minute of usage. If x represents the minutes of usage, which equation best represents the word problem?
A. 100+20=.10x
B. 100+.10x=20
C. 20 +.10x=100
D. 20-.10x= 100

Answers

Answer: C. best fits the word problem.

Step-by-step explanation:

The reason C. best fits is because the bare minimum $20 she has to pay plus .10 times whatever amount of minute's she spends talking has to equal $100 for her to stay in budget. A good example would be say she spends 800 minutes in total on her phone. 0.10 times 800 is 80. So in this hypothetical situation, it would be 20 + 80 = 100.

Find the values of​ x, y, and z in the triangle to the right. A triangle has angles labeled as follows: lower left, x degrees; top, y degrees; lower right, z degrees. A ray extends the left side of the triangle and the angles labeled y degrees and (3 x plus 5) degrees form a straight angle. Another ray extends the bottom side of the triangle and the angles labeled z degrees and (3 x minus 5) degrees form a straight angle. X degrees y degrees z degrees left parenthesis 3 x plus 5 right parenthesis degrees left parenthesis 3 x minus 5 right parenthesis degrees

Answers

Given:

Consider the below figure attached with this question.

Angles of a triangle are x, y and z.

To find:

The values of x, y and z.

Solution:

If two angles are linear pair, then their sum is 180 degrees.

[tex]y+(3x+5)=180[/tex]

[tex]y=180-3x-5[/tex]

[tex]y=175-3x[/tex]

Similarly,

[tex]z+(3x-5)=180[/tex]

[tex]z=180-3x+5[/tex]

[tex]z=185-3x[/tex]

According the the angle sum property, the sum of all angles of a triangle is 180 degrees.

[tex]x+y+z=180[/tex]

[tex]x+(175-3x)+(185-3x)=180[/tex]

[tex]-5x+360=180[/tex]

[tex]-5x=180-360[/tex]

[tex]-5x=-180[/tex]

Divide both sides by -5.

[tex]x=36[/tex]

The value of x is 36.

[tex]y=175-3(36)[/tex]

[tex]y=175-(108)[/tex]

[tex]y=67[/tex]

Now,

[tex]z=185-3(36)[/tex]

[tex]z=185-108[/tex]

[tex]z=77[/tex]

Therefore, the values of x, y and z are 36, 67 and 77 respectively.

What is the value of x in the y = 2/3x + 5 when y=7?

Answers

Answer:

x = 3

Step-by-step explanation:

y = 2/3 x + 5; y = 7

7 = (2/3)x + 5

2 = (2/3)x

x = 2 * 3/2

x = 3

Answer:

x=3

Step-by-step explanation:

To start all you need to do is replace [tex]y[/tex] with 7 to get [tex]7=\frac{2}{3}x+5[/tex]

Then, you need to isolate x on the right side of the equation, starting with subtracting 5 on both sides to get [tex]2=\frac{2}{3}x[/tex]

Finally, you divide both sides by [tex]\frac{2}{3}[/tex]. You divide fractions by multiplying the reciprocal like so [tex]\frac{2}{1} *\frac{3}{2} =x[/tex] to get [tex]\frac{6}{2} =x[/tex]. This means that x=3

(2x−6)+4(x−3) i need help as fast as possible explain and answer pls

Answers

Answer:

6x-18

Step-by-step explanation:

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

(2x-6) + (4x-12)

2x - 6 + 4x - 12

6x-18

Answer:

6x-18 (simplified)

Step-by-step explanation:

Find the value of the expression 3m2 + 2p2 − 15 when m = 3 and p = 10. (5 points)

A.) 27
B.) 200
C.) 212
D.) 225

Answers

Answer:

The answer is C 212

· 100 · (0.7)3. (1 - 0.7)5-3?

Answers

Answer:
100•(0.7)3•(1-0.7)5-3
100•0.7•3•0.3•5-3
315-3
312

Gabriella bought 6 7/14 yards
of red fabric and 7 1/7 of
blue. How much cloth did she
buy in all?

Answers

Answer:

13 9/14

Step-by-step explanation:

Add the blue + red fabric

1. Make the denominator the same

6 7/14 + 7 2/14

2. Add

6 7/14 + 7 2/14 = 13 9/14

Answer:

13 9/14

Step-by-step explanation: You would change 1/7 into 2/14 for a common denominator then add 2/14 and 7/14 and get 9/14 and 6+7=13 so it would be 13 9/14. Plzzzz give me brainliest

152
Find the x of the angle

Answers

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So first we will do 180-152 to get the measure of the angle besides the angle. That'll give us 28, then we know that those base angles of this mini triangle are congruent so we will do 28+28 to get 56. Now we will do 180-56 to get the last angle of the triangle, which is 124. And this angle is the same as the angle with x because they are corresponding angles so x is 124°.

whats the answer to number 5 please and thank you? please write down the steps

please help

Answers

Answer:

67

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

x + 55 = 90 (Right angle triangle)

x = 90 - 55

x = 35

Please mark as brainliest.

HELP ASAP PLEASE . CONVERT TO STANDARD NOTATION

Answers

Answer:

0.000425 and 62570000000.

Step-by-step explanation:

Answer:

1) 425000

2) 62.570000

Step-by-step explanation:

There are 5 under the 10.

1) 10 x 10 x 10 x 10 x 10 = 100000

100000 x 4.25 = 45000

2) There are 7 under the 10.

10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000

10000000 x 6.257 = 62.570000.

If you don't understand, count the "0's" and times then by 1 and 0's.

Solve m +1.4 = 0.6.
What does m equal?

Answers

Answer:

m=0.8

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

1.4-0.6=m

Dovecreek Manufacturing has two facilities that manufacture tents. Each facility produces both the Expedition tent and the
Excursion tent. The daily production labor hours for each department are given in the following two matrices.
Delores Plant
Cortez Plant
Expedition Excursion
Expedition Excursion
Sewing
45
60
Sewing
54
72
(
1
1
Assembly
72
108
Assembly
63
104
Which of the following matrices shows the combined daily labor hours for each department from both facilities?
OA.
99 132
135 167
ОВ.
105 180
126 212
C.
117 168
117 176
99 132
135 212

Answers

Answer:

dts on sundar

Step-by-step explanation:

3x-2y=10 solve for y

Answers

Answer:

y =  3 /2 x − 5

Step-by-step explanation:

It's hard to write out an explanation for this one but you could also plug it into an algebra calculator to check mine and your answer :))

Which symbol should go into the box to make the statement true?
|17| |17


Answers

Answer: equals 17

Step-by-step explanation:

Answer:

The answer is = for 17 and |17|

A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal

Answers

Answer:

324 calories

Step-by-step explanation:

A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal

The unit rate for calories per cup = calories per cup

3/4 cup serving = 81 calories

3 cups of cereal = x calories

We Cross Multiply

3/4 × x = 81 × 3

x = (81 × 3) ÷ 3/4

x = 243 × 4/3

x = 324 calories per cup

There are 324 calories in 3 cups of cereal

I OFFER 100 POINTS AND WHOEVER ANSWERS FIRST WILL BE BRAINLIEST

(SHOW WORK IF YOU CAN PLZ)

For f(X)=1/x-5 and g(X) =x^2+2, find f(g(x)) and (g o f)(6)

Answers

F(g(x))= f(x^2 +2)=
Simplify: fx^2 +2f
G of 6= g(6)
G(6)= 6^2 +2 =
Simplify: 36 +2= 38

Help how do I find the missing sides in this special triangle

Answers

You have to use sine cosine and tangent

There are 20 teachers and 705 students in Corey's school. What is the ratio of teachers to students?​

Answers

you’re mommmmmmmmmmmmmmmmmm

Answer:

4:141

Step-by-step explanation:

first, wright out a ratio with what's given

20(teachers):705(students)

next, simplify the ratio by dividing both sides by the gcf

20: 705

20/5 : 705/5

4 : 141

Write the word form and fraction form of 0.189.

Answers

Answer:

Fraction is 189/1000

Word I guess would be point one eight nine

1.875 ÷ 1.256 ÷ 4.25 ÷ 1.5 =
pls answer fast!!!!!!

Answers

Answer:

answer is 0.2341701 your welcome

What are the terms in the expression 7x+4y+1?

A. 7x, 4y, and 1

B. 7 and 4

C. 1

D. x and y

Answers

Answer:

D.

x and y are the terms think about the letters in the expression and those are the terms.

Answer for moneyy. will also give brainliest

Answers

Answer:

1 and 3- vertical angles

5 and 8- linear pair

2 and 6- corresponding angles

Step-by-step explanation:

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