Question

What is the greatest common factor (GCF) of the numerator and denominator of the rational expression below?A.x + 5B.xC.4D.x - 3

Answer 1

Case: GCF

Method:

Simplifying the numerator:

4x+20 = 4(x+5)

Simplifying the denominator

`\begin{gathered} x^2+2x-15 \\ x^2+5x-3x-15 \\ x(x+5)-3(x+5) \\ (x+5)(x-3) \end{gathered}`

A common factor between them is x+5

Final answer:

x+5