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The learner will multiply polynomials.

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Multiplying Polynomials

Perform the following multiplication and then simplify by combining any like terms.

$\left ( x+3 \right )\left ( x+10 \right )$

$x^{2}+13x+30$
$x^{2}+13x+13$
$x^{2}+10x+3x+30$
$x^{2}+7x+30$

Question 1 of 10

Multiplying Polynomials

Perform the following multiplication and then simplify by combining any like terms.

$\left ( 2y-3 \right )\left ( y+5 \right )$

$2y^{2}+7y-15$
$2y^{2}+7y+15$
$2y^{2}+13y-15$
$2y^{2}-13y-15$

Question 1 of 10

Multiplying Polynomials

Perform the following multiplication and then simplify by combining any like terms.

$\left ( 6b+2 \right )^{2}$

$36b^{2}+24b+4$
$36b^{2}+4$
$36b^{2}+12b+4$
$36b^{2}+18b+4$

Question 1 of 10

Multiplying Polynomials

Perform the following multiplication and then simplify by combining any like terms.

$\left ( 8x-1 \right )^{2}$

$64x^{2}-16x-1$
$64x^{2}-64x+1$
$64x^{2}-16x+1$
$16x^{2}-16x+1$

Question 1 of 10

Multiplying Polynomials

Perform the following multiplication and then simplify by combining any like terms.

$\left ( x+6 \right )\left ( x^{2}-6x+3 \right )$

$x^{3}-39x+18$
$x^{3}-33x+18$
$x^{3}-12x^{2}-33x+18$
$x^{2}-33x+18$

Question 1 of 10

Multiplying Polynomials

Perform the following multiplication and then simplify by combining any like terms.

$\left ( 3z-4 \right )\left ( 2z^{2}+3z-7 \right )$

$6z^{3}+17z^{2}-33z+28$
$6z^{3}+z^{2}-9z+28$
$6z^{3}+z^{2}+9z+28$
$6z^{3}+z^{2}-33z+28$

Question 1 of 10

Multiplying Polynomials

Perform the following multiplication and then simplify by combining any like terms.

$\left ( 9x-2 \right )\left ( 2x^{2}+x+1 \right )$

$18x^{3}+13x^{2}+7x-2$
$18x^{3}+5x^{2}+11x-2$
$18x^{3}+5x^{2}+7x-1$
$18x^{3}+5x^{2}+7x-2$

Question 1 of 10

Multiplying Polynomials

Perform the following multiplication and then simplify by combining any like terms.

$(3a-11)\left ( 3a+11 \right )$

$9a^{2}+121$
$9a^{2}-66a-121$
$9a^{2}-121$
$9a^{2}+66a-121$

Question 1 of 10

Multiplying Polynomials

Perform the following multiplication and then simplify by combining any like terms.

$\left ( 5x+2y \right )\left ( 3x+y \right )$

$15x^{2}+11xy+2y^{2}$
$15x^{2}+10xy+2y^{2}$
$15x+11xy+2y$
$15x^{2}+xy+2y^{2}$

Question 1 of 10

Multiplying Polynomials

Perform the following multiplication and then simplify by combining any like terms.

$\left ( a-2b \right )\left ( 2a^{2}-3ab+5b^{2} \right )$

$2a^{3}-7a^{2}b+11ab^{2}+10b^{3}$
$2a^{3}-7a^{2}b+11ab^{2}-10b^{3}$
$2a^{3}+a^{2}b+11ab^{2}-10b^{3}$
$2a^{3}-7a^{2}b-ab^{2}-10b^{3}$

Question 1 of 10

Multiplying Polynomials

Perform the following multiplication and then simplify by combining any like terms.

$\left ( w^{2}-2w+5 \right )\left ( w^{3}+w+2 \right )$

$w^{5}-2w^{4}+6w^{3}-4w^{2}+w+10$
$w^{5}-2w^{4}+6w^{3}+w+10$
$w^{4}-w^{3}+5w^{2}+w+10$
$w^{5}-2w^{4}+6w^{3}+4w^{2}+w+10$

Question 1 of 10

Multiplying Polynomials

Perform the following multiplication and then simplify by combining any like terms.

$\left ( 2x^{2}-4x+3 \right )(x^{2}-x+2)$

$2x^{4}-6x^{3}+3x^{2}-11x+6$
$2x^{4}-6x^{3}+11x^{2}-5x+6$
$2x^{4}-6x^{3}+11x^{2}-11x+6$
$2x^{4}+2x^{3}+11x^{2}-11x+6$

Question 1 of 10

Author

Wade Wells

Published: 6/18/2014

Last Updated: 6/18/2014

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Multiplying Polynomials by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.