# Factoring Quadratic Polynomials into Linear Factors

If x_1 and x_2 are the roots of quadratic polynomial of ax^2+bx=c (i.e.the root of equation of ax^2+bx+c=0), then color(blue)(ax^2+bx+c=a(x-x_1)(x-x_2)).This is the formula of factoring quadratic polynomial into factors.

Example. Factor the following: 6x^2-x-2.

We apply the formula of roots of quadratic equation to the equation of 6x^2-x-2=0 and find x_1=-1/2, x_2=2/3. So,

6x^2-x-2=6(x+1/2)(x-2/3)=2(x+1/2)*3(x-2/3)=(2x+1)(3x-2).