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

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Answer 1 · 2016-02-19T12:39:59

$(2 x - 1) (x - 4)$ $(2x-1)(x-4)$

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.

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

Factorise each half.

$2 x (x - 4) - 1 (x - 4)$ $2x(x-4)-1(x-4)$

$(2 x - 1) (x - 4)$ $(2x-1)(x-4)$

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