Using the distributive property to find the product (y – 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y2 – ay – 64.

Question

Using the distributive property to find the product (y – 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y2 – ay – 64. What is the value of a in the polynomial?

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Nevaeh 2 weeks 2021-09-10T09:50:44+00:00 1 Answer 0

Answers ( )

    0
    2021-09-10T09:52:22+00:00

    Answer:

    The answer to your question is a = 16

    Step-by-step explanation:

    Polynomial

                      (y – 4) (y² + 4y + 16)

    Process

    1.- Multiply y by each term of the polynomial

                    y(y² + 4y + 16) = y³ + 4y² + 16y

    2.- Multiply -4 by each term of the polynomial

                    -4(y² + 4y + 16) = -4y² – 16y – 64

    3.- Write both results

                    y³ + 4y² + 16y – 4y² – 16y – 64

    In bold we notice that a = 16

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