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High School Math : How to multiply polynomials in pre-algebra

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Example Questions

Example Question #1 : How To Multiply Polynomials In Pre Algebra

Simplify:

$-\sqrt{9}$

Possible Answers:

Correct answer:

Explanation:

First you look at the $\sqrt{9}$ . Nine is a perfect square, meaning $3\cdot 3=9$ . Because the negative sign is outside the radical, you add it in at the end of the problem, after $\sqrt{9}$ = . Therefore, the answer is .

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Example Question #2 : How To Multiply Polynomials In Pre Algebra

$4x^{7} \cdot 2x^{4}=$

Possible Answers:

6x^1^1

8x^3

$8x^{11}$

6x^3

8x^2^8

Correct answer:

$8x^{11}$

Explanation:

First you multiply the coefficients and . Then you use the rules of exponents to add the exponents (7+4) because you are multiplying the bases. This becomes x^1^1 . You then combine the two parts to equal $8x^{11}$ .

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Example Question #1 : How To Multiply Polynomials In Pre Algebra

What is $x^3\cdot x^5$ ?

Possible Answers:

$3x^{5}$

$x^{15}$

$x^{2}$

$x^{8}$

Correct answer:

$x^{8}$

Explanation:

When multiplying polynomials you add the powers of each like-termed polynomial together to find the answer.

In this example the powers are and which add to .

Therefore our answer is $x^{8}$ .

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Example Question #4 : How To Multiply Polynomials In Pre Algebra

$x^{5}*x^{12}$

Possible Answers:

$2x^{60}$

$x^{60}$

$x^{17}$

$2x^{17}$

Correct answer:

$x^{17}$

Explanation:

When multiplying polynomials you add the powers of each like-termed polynomial together to find the answer.

In this example the powers are and which add to .

Therefore our answer is $x^{17}$

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Example Question #2 : How To Multiply Polynomials In Pre Algebra

Simplify the expression.

2xy * 4x^2y

Possible Answers:

8x^2y^2

2xy

8xy^2

8x^3y^2

6x^3y^2

Correct answer:

8x^3y^2

Explanation:

To simplify, we need to multiply all terms together. It is easiest to re-order the expression and group like terms together.

2xy * 4x^2y

(2*4)(x*x^2)(y*y)

Now we can simplify.

8x^3y^2

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Example Question #6 : How To Multiply Polynomials In Pre Algebra

What is $x^{8}*x^{4}$ simplified?

Possible Answers:

$x^{12}$

x^4

$x^{8}$

$x^{32}$

Correct answer:

$x^{12}$

Explanation:

When multiplying polynomials you add the powers of each like-termed polynomial together so we add the powers of each like-termed variable to find the answer.

In this example the exponents are and so 8+4=12

Our answer is $x^{12}$ .

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Example Question #3 : How To Multiply Polynomials In Pre Algebra

What is $x^{5}*x^{9}*x^{3}$ simplified?

Possible Answers:

$x^{135}$

$x^{13}$

$2x^{9}$

$x^{17}$

Correct answer:

$x^{17}$

Explanation:

When multiplying polynomials, add the powers of each like termed polynomial together to find the answer.

In this example the variables are $x^{5}$ , $x^{3}$ and $x^{9}$ so 5+3+9=17

Our answer is $x^{17}$ .

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Example Question #2 : How To Multiply Polynomials In Pre Algebra

Multiply the terms.

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

Possible Answers:

-3x^2+14x+8

-3x^2-10x+8

-3x^2-14x+8

-3x^2+10x+8

Correct answer:

-3x^2+10x+8

Explanation:

Solve using the FOIL method. Don't forget to include the negative sign!

First: (3x)(-x)=-3x^2

Outside: (3x)(4)=12x

Inside: (2)(-x)=-2x

Last: (2)(4)=8

Add together, and combine like terms.

-3x^2+12x-2x+8

-3x^2+10x+8

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Example Question #9 : How To Multiply Polynomials In Pre Algebra

What is $x^{7}\cdot x^{6}\cdot x^{3}$ simplified?

Possible Answers:

$x^{16}$

$2x^{8}$

$x^{126}$

$x^{-2}$

Correct answer:

$x^{16}$

Explanation:

When multiplying monomials with the same base, you simply add the exponents together.

In this example the monomials are $x^{7}$ , $x^{6}$ , and $\ x^{3}$ so 7+6+3=16 .

Our answer is $x^{16}$ .

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Example Question #10 : How To Multiply Polynomials In Pre Algebra

Simplify $5x^{3}*5x^{8}$

Possible Answers:

$25x^{24}$

$5x^{24}$

$5x^{11}$

$25x^{11}$

Correct answer:

$25x^{11}$

Explanation:

When multiplying polynomials you add the powers of each like-termed variable together.

In this example the variables are raised to the and so 3+8=11 will be the power of in our answer.

Then we multiply the numbers in front of our variables to get $5\cdot 5=25$ .

Combine the number and our new variable to get the answer $25x^{11}$ .

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High School Math : How to multiply polynomials in pre-algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1 : How To Multiply Polynomials In Pre Algebra

Example Question #2 : How To Multiply Polynomials In Pre Algebra

Example Question #1 : How To Multiply Polynomials In Pre Algebra

Example Question #4 : How To Multiply Polynomials In Pre Algebra

Example Question #2 : How To Multiply Polynomials In Pre Algebra

Example Question #6 : How To Multiply Polynomials In Pre Algebra

Example Question #3 : How To Multiply Polynomials In Pre Algebra

Example Question #2 : How To Multiply Polynomials In Pre Algebra

Example Question #9 : How To Multiply Polynomials In Pre Algebra

Example Question #10 : How To Multiply Polynomials In Pre Algebra

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