Use long division to divide. $\left( x ^ { 3 } + 64 \right) \div ( x + 4 )$
A) $x ^ { 2 } - 4 x + 16$
B) $x ^ { 2 } + 4 x - 16$
C) $x ^ { 2 } + 16$
D) $x ^ { 2 } - 16$
E) $x ^ { 2 } - 16 + \frac { 4 } { x + 4 }$

Question

Quizplus · Accepted Answer

When dividing $x^3 + 64$ by $x + 4$, we use long division or synthetic division. The polynomial $x^3 + 64$ can also be factored as $(x + 4)(x^2 - 4x + 16)$ using the sum of cubes formula. Dividing by $x + 4$ leaves $x^2 - 4x + 16$.

Use Long Division to Divide (x3+64)÷(x+4)\left( x ^ { 3 } + 64 \right) \div ( x + 4 )(x3+64)÷(x+4)

Use Long Division to Divide $\left( x ^ { 3 } + 64 \right) \div ( x + 4 )$