Question

Determine the factors of 4x2 5x − 6 a(4x − 2)(x 3) b(4x − 3)(x 2) c (4x − 6)(x 1) d(4x − 1)(x 6)

Answer 1

4x^2 + 5x - 6 = (4x - 3) (x + 2)

You can do it by using the quadratic function to solve 4x^2 + 5x - 6 = 0; the result will be x = 3/4 and x = -2

Then you have to make (x- 3/4) = 0 and (x +2 ) = 0

When you develop x - 3/4 = 0 you get 4x -3 = 0, which means that 4x - 3 is a factor. The other factor is directly x + 2.

Answer: option b: (4x -3)(x + 2)

Answer 2

The answer is (4x - 3)