Question

factor the polynomial x(3x+5)-4(3x+5)

Answer 1

x(3x+5)-4(3x+5)
3x^2+5x-12x+20
3x^2-7x+20

Answer 2

Answer:

$(3x+5)(x-4)$

Step-by-step explanation:

First, we must distribute this:

$x(3x+5)-4(3x+5)\\3x^2+5x-12x-20\\3x^2-7x-20$

Now, we must factor:

$3x^2-7x-20\\(3x+5)(x-4)$