Question

Factor the following quadratic equation 4x^2-8x+3

Answer 1

`(2x - 1)(2x - 3)`

Explanation:

1) Split the second term in 4x² - 8x + 3 into two terms.

`{4x}^(2) - 2x - 6x + 3`

2) Factor out common terms in the first two terms, then in the last two terms.

`2x(2x - 1) - 3(2x - 1)`

3) Factor out the common term 2x-1.

`(2x - 1)(2x - 3)`

Therefor, the answer is (2x - 1) (2x - 3).