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?

Answer 1

Answer:

16

Step-by-step explanation:

Hi,

Given product is ( y - 4).(y² + 4y + 16)

Using Distributive Property : (a + b).c = a.c + b.c

= y.(y² + 4y + 16) - 4.(y² + 4y + 16)

Using Distributive Property : a.(b + c) = a.b + a.c

= y³ + 4y² + 16y - 4y² - 16y -64----(1)

Given that the above product results in a polynomial

y³ + 4y² + ay - 4y² - ay -64------(2)

On comparing (1) with (2), we can say that a = 16

Hope, it helps !

Answer 2

C 16

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