Question

Factor this polynomial expression.

Answer 1

Answer:

B. (5x - 4)(3x + 2)

Step-by-step explanation:

Factor the following:

$\longrightarrow$ 15x² - 2x - 8

The coefficient of x² is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12.

So,

$\longrightarrow$ 15x² + (10 - 12)x - 8

$\longrightarrow$ 15x² + 10x - 12x - 8

$\longrightarrow$ 5x(3x + 2) - 4(3x + 2)

$\longrightarrow$ (5x - 4)(3x + 2)