how do i factor 3x^2-x-2

Question

  finding the roots of the quadratic equation

 

Answer 1

3*(-2) = -3*2 and -3+2 = -1, the coefficient of x.

So,

3x²-x-2

= 3x² - 3x + 2x-2

= 3x(x-1) + 2(x-1)

= (3x+2)(x-1)