alisontower2 alisontower2
  • 04-04-2018
  • Mathematics
contestada

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

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

Respuesta :

SenpaiTrill
SenpaiTrill SenpaiTrill
  • 12-01-2019

Hello there,

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

Answer: - 2x + 5.

Answer Link
MrsStrong
MrsStrong MrsStrong
  • 12-01-2019

Answer:

A

Step-by-step explanation:

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

[tex]\frac{125-8x^3}{25+10x+4x^2} = \frac{(5-2x)(25+10x+4x^2)}{25+10x+4x^2}[/tex]

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

Answer Link

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