How do you factor the expression 2x^2-9x+4?

Feb 19, 2016

$\left(2 x - 1\right) \left(x - 4\right)$

Explanation:

Find 2 values that add to give -9 and multiply to give 2 x 4 = 8.

These values are -1 and -8.

Split the x's.

$2 {x}^{2} - 8 x - x + 4$

Factorise each half.

$2 x \left(x - 4\right) - 1 \left(x - 4\right)$

$\left(2 x - 1\right) \left(x - 4\right)$