Factor trinomials

Find two numbers that multiply to c and add to b.

Algebra: Factoring and quadratics

x^{2} + b x + c = (x + m) (x + n)

Work through it

3 and 4 multiply to 12 and add to 7.

$(x + 3) (x + 4)$

$- 3$ and $2$ multiply to $- 6$ and add to $- 1$ .

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

$x^{2} + 5 x + 6 = (x + 1) (x + 6)$

1 and 6 multiply to 6, but add to 7. Check both conditions.

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