ericajh ericajh

23-03-2016
Mathematics

Answered

x^3 + 8 = (x+2)(____)

What do I have to multiply by (x+2) to get x^3 + 8

Verified Answer :

Panoyin Panoyin

24-03-2016

x² - 2x + 4
x + 2|x³ + 0x² + 0x + 8
x³ + 2x²
-2x² + 0x
-2x² - 4x
4x + 8
4x + 8
0

x³ + 8 = (x + 2)(x² - 2x + 4)
x³ + 8 = (x + 2)(x - 2)(x - 2)
x³ + 8 = (x + 2)(x - 2)²

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