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Factoring Quadratics

Factoring Quadratics 1.15 - Solution

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To factor a trinomial with a leading coefficient of we need to find two numbers whose product is the independent term. In this case, we have that the constant term is This is a negative number, so for a product to be negative, the factors must have opposite signs (one positive and one negative).

Factor Constants Product of Constants
and
and
and
and

Next, let's consider the coefficient of the linear term. In this case, since the linear coefficient is we need the sum of the factors to be

Factors Sum of Factors
and
and
and
and
We found two numbers whose product is and whose sum is These numbers are and With this we can factor the given trinomial.