How do you factor the trinomial $3x^2 - 7x + 2$ ?

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Answer 1 · 2015-12-14T04:33:34

$(3x-1)(x-2)$

Find numbers whose...

That is, numbers whose product is $6$ and sum is $-7$ .

These numbers are $-6$ and $-1$ .

Rewrite $-7x$ as $-6x-x$ .

$3x^2-6x-x+2$

Factor by grouping.

$(3x^2-6x)+(-x+2)$

$3x(x-2)-1(x-2)$

$(3x-1)(x-2)$

How do you factor the trinomial 3x^2 - 7x + 23x^2 - 7x + 2?