Question

what is the quotient of (125-8x^3)/(25+10x+4x^2)

a)-2x+5
b)2x-5
c)-2x-5
d)2x+5

Answer 1

Hello there,

what is the quotient of (125-8x^3)/(25+10x+4x^2)

Answer: - 2x + 5.

Answer 2

Answer:

A

Step-by-step explanation:

For the expression $\frac{125-8x^3}{25+10x+4x^2}$, simplify  the expression by factoring the numerator and denominator if possible.

$\frac{125-8x^3}{25+10x+4x^2} = \frac{(5-2x)(25+10x+4x^2)}{25+10x+4x^2}$

After factoring the difference cubes, you can divide $25+10x+4x^2$ by itself into 1 leaving 5-2x. This can also be written as -2x+5.