Factoring Quadratic Trinomials To Factor Trinomials in the Form x² + bx + c. OBJECTIVE C can be positive or negative.

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Factoring Quadratic Trinomials To Factor Trinomials in the Form x² + bx + c. OBJECTIVE C can be positive or negative

Method for Factoring x² + bx + c The first terms will both be x. Write all the factors of the last term Use addition to find the pair of factors that equal the middle term

Factor completely. x² + 6x + 8 (x )(x ) Write all the factors of the last term 1 · 8 2 · 4 -1 · · -4 Since the last term is positive, the signs will be the same Since the middle term is positive, the signs will be positive. 1 · 8 2 · = =

Factor Completely x² - 6x + 8 (x )(x ) 1 · 8 2 · 4 -1 · · -4 Since the last term is positive the signs will be the same, and the signs will be the same as the middle term -1 · · (-8) = (-4) =

Factor Completely x² + 14x · 40 2 · 20 4 · 10 5 · = 14 (x + 4)(x + 10) x² - 10x · · · (-8) = -10 (x – 2)(x – 8)

Factor Completely x² + 2x · 8 Since the last term is negative, make sure you list all factors of the last term 1 · · 42 · = 2 (x – 2)(x + 4)

Factor Completely x² - x · 201 · · 102 · · 54 · (-5) = -1 ( x + 4)(x – 5) x² + 4x · 212 · · 73 · = 4 (x – 3)(x + 7)