Find two numbers whose product is c and whose sum is b.
Write the expression as (x + m)(x + n).
Check by multiplying. If the middle term is correct, the factoring is correct.
When searching for the two numbers, list the pairs whose product is the constant term, and choose the pair whose sum is the coefficient of x.
The sign of the constant term tells us the signs of the two numbers: if c is positive, the numbers have the same sign; if c is negative, they have opposite signs.
Factoring Trinomials · 2 / 6
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