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

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

User Talha Anwar
by
7.6k points

1 Answer

3 votes
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
User JYL
by
8.2k points
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