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

A

Explanation:

For the expression
`(125-8x^3)/(25+10x+4x^2)`, simplify the expression by factoring the numerator and denominator if possible.

`(125-8x^3)/(25+10x+4x^2) = ((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.