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binfig7uesera
binfig7uesera binfig7uesera
  • 31-08-2016
  • Mathematics
Answered

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?

Verified Answer :

HomertheGenius
HomertheGenius HomertheGenius
  • 31-08-2016

( y - 4 ) ( y² + 4 y + 16 ) =
= y³ + 4 y² + 16 y - 4 y² - 16 y - 64 = y³ - 64
If the result is the polynomial of the form:
y³ + 4 y² + a y - 4 y² - a y - 64
a = 16

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