Respuesta :
Answer:
C
Step-by-step explanation:
x²+2x-15 = x²-3x+5x-15 = x(x-3)+5(x-3)=(x+5)(x-3)
or delta:
∆=2²-4*1*(-15)=4+60=64
√∆=8
x1 = (-2+8)/2 = 3
x2=(-2-8)/2=-5
and 4x+20 = 4(x+5)
The same is (x+5), so it is GCF. answer C
An expression is defined as a set of numbers, variables, and mathematical operations. The greatest common factor (GCF) of the numerator and denominator of the rational expression is (x+5).
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
In order to find the greatest common factor of the numerator and the denominator, we need to factorize both numerator and the denominator of the given function, therefore, we can write
(4x+20)/(x²+2x-15)
= 4(x+5)/(x²+5x-3x-15)
= 4(x+5)/[x(x+5)-3(x+5)]
= 4(x+5)/(x+5)(x-3)
Hence, the greatest common factor (GCF) of the numerator and denominator of the rational expression is (x+5).
Learn more about Expression:
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