Factoring Trinomials of the Form x2 + bx + c - MBF3C Quadratics II Date Factoring Trinomials of the Form x2 bx c REVIEW EXPANDING Distributive Property

# Factoring Trinomials of the Form x2 + bx + c - MBF3C...

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MBF3C – Quadratics II Date: _________________________ Factoring Trinomials of the Form x 2 + bx + c REVIEW EXPANDING Distributive Property Rainbow ( ) x x x = 2 2 5 2 10 x Product of Two Binomials F O I L ( )( ) + = + = + x x x x x x x 2 2 3 4 4 3 1 12 2 Perfect Square Binomial Special Product ( ) = + x x x 2 2 5 10 25 Recall ( ) + = + + a b a ab b 2 2 2 2 Difference of Squares Special Product ( )( ) x x x + = 2 7 7 49 Recall ( ) ( ) + = a b a b a b 2 2 Factor – the numbers that are ____________________ together to form a __________________ i.e. 2 x 3 = 6 Æ The factors are _________________ The product is __________ multiplied product 2 and 3 6 i.e. ( ) Æ The factors are _____________________________ ( ) + + = + + x x x x 2 1 2 3 (x + 1) and (x + 2) 2 The product is ______________________________ x 2 +3x + 2 Factoring Trinomials – _____________________________________________________ The OPPOSITE operation of expanding To factor a trinomial of the form x 2 + bx + c Find two integers whose _______________ is equal to ____ and whose _________ is equal to ____ c b PRODUCT (x) SUM (+) You _________ pay close attention to the _________ of the terms. signs MUST EXAMPLES Factoring Trinomials 1. x 2 + 15x + 36 Therefore the factors are (x + 3)( x + 12) Product of 36 Sum 1 36 37 2 18 20 3 12 15 4 8 12 6 6 12 2. x 2 + 7x – 18 The factors are

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