Question

How do i factor the quadratic expression   4x^2-11x=3

Answer 1

$4 x^{2} -11x-3=0$
(4x+1)(x-3)=0
We can solve for x by setting each parentheses equal to 0
x= -1/4
x= 3

Answer 2

4x² - 11x = 3
4x² - 11x - 3 = 0
4x² -12x + x - 3 = 0
4x (x - 3) + 1(x - 3) = 0
(x - 3) (4x + 1) = 0
Using zero product property,
Either,
     x - 3 = 0
          x = 3
Or,
     4x + 1 = 0
           4x = -1
             x = -1/4