Question

factor the following quadratic expression:
15x² + 35x
a not factorable
b 7x(5x - 6)
c 3x(5x - 1)
d 5x(3x + 7)

Explanation:

Step1: Find GCF of coefficients

The coefficients are 15 and 35. GCF of 15 and 35 is 5.

Step2: Find GCF of variables

The variables are \(x^2\) and \(x\). GCF is \(x\).

Step3: Factor out GCF

Factor out \(5x\) from \(15x^2 + 35x\):
\(15x^2 + 35x = 5x(3x + 7)\).

Answer:

D. \(5x(3x + 7)\)