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PLEASE HELP IM SO DESPRATE !!!!!PLEASE MARK CORRECT ANSWER IN EXPLANATION:)

The expression below is a polynomial. wy^2(8y^3 - 2y^2 + 7y) It simplifies to 40y^5 - 10y^4 + 35y^3. What must be the value of w?

User Oskar Duveborn
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1 Answer

8 votes
8 votes

Answer: w = 5

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Step-by-step explanation:

The term wy^2 out front multiplies with each term inside the parenthesis (because of the distributive rule).

Let's multiply the outer term with the first term inside the parenthesis to get the following:

wy^2 times 8y^3 = 8wy^5

Compare 8wy^5 with 40y^5, and we see the coefficients 8w and 40 match up. Therefore, 8w = 40 solves to w = 5

User Keila
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