Question

Factor. 15x2 - 29x +12use the formula (x+a)(x+b)=x^2 +(a+b)x+ab

Answer 1

To factor quadratic expression:

$15x^2-29x+12$

First, let's divide the expression in two different expressions that can be factored apart:

$(15x^2-9x)+(-20x+12)$

We converted -29x into -9x and -20x, then factor each parenthesis:

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

We factor the common term (5x-3). Then we get as a result:

$=(5x-3)(3x-4)$$15x^2-29x+12=(5x-3)(3x-4)$