R St. Raphael School $\newline$ $120$ . IXL-Multiply polynomials (Alg) $\newline$ ixl.com/math/algebra $-1$ /multiply-polynomials $\newline$ My IXL $\newline$ Algebra $1$ $\newline$ W. $11$ Multiply polynomials $\newline$ $58 \mathrm{~A}$ $\newline$ Learn with an $\newline$ Find the product. Simplify your answer. $\newline$ $(w-4)\left(-2 w^{2}+3 w-2\right)$ $\newline$ $\square$ $\newline$ Submit

Full solution

Q. R St. Raphael School

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120

. IXL-Multiply polynomials (Alg)

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ixl.com/math/algebra

-1

/multiply-polynomials

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My IXL

\newline

Algebra

1

\newline

11

Multiply polynomials

\newline

58 \mathrm{~A}

\newline

Learn with an

\newline

Find the product. Simplify your answer.

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

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\square

\newline

Submit

Distribute $w$ to second polynomial: First, distribute the first term of the first polynomial, $w$ , to each term of the second polynomial. $w \times (-2w^2) = -2w^3$ $w \times 3w = 3w^2$ $w \times (-2) = -2w$
Distribute $-4$ to second polynomial: Now, distribute the second term of the first polynomial, $-4$ , to each term of the second polynomial. $\newline$ $-4 \times (-2w^2) = 8w^2$ $\newline$ $-4 \times 3w = -12w$ $\newline$ $-4 \times (-2) = 8$
Combine like terms: Combine like terms from the results of the distribution. $\newline$ $-2w^3 + (3w^2 + 8w^2) + (-2w - 12w) + 8$
Simplify the expression: Simplify the expression by adding the coefficients of like terms. $-2w^3 + 11w^2 - 14w + 8$