Question

What is the GCF of the numerator & denominator below?

(x-2)(x+3)/x^2+4x+3

Answer 1

Explanation:

Factorize the denominator

Sum = 4

Product = 3

Factors = 1 , 3 {1*3 = 3 and 1+3 = 4}

x² + 4x + 3 = x² + x + 3x + 1*3

= x(x + 1) + 3(x + 1)

= (x + 1)(x + 3)

GCF of the numerator and denominator = (x + 3)