Basic Trinomials (All Positives)

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Presentation transcript:

Basic Trinomials (All Positives) 7.5 Factoring Basic Trinomials (All Positives)

Identification Trinomial x2 + bx + c Trinomial x2 + c a2 + 8a + 15 a2 Three terms Square on one end Plus a number on the other end

Factor. a2 + 8a + 15 8 15 1 ( )( ) a a + 3 + 5 1  15 = 15 product Sum 16 3 5 3  5 8 ( )( ) a a + 3 + 5 8 sum Find the product and sum. List all pairs of factors of the product. Add each pair of factors.

Factor. 1 c2 + 9c + 20 9 20 ( )( ) c c + 4 + 5 1  20 = 20 Sum 20 21 4 5 2  10 12 9 4  5 9 ( )( ) c c + 4 + 5

Factor. 1 d2 + 16d + 28 16 28 ( )( ) d d + 2 + 14 1  28 = 28 Sum 28 29 2 14 2  14 16 16 4  7 11 ( )( ) d d + 2 + 14

Factor. 1 m2 + 13m + 36 13 36 ( )( ) m m + 4 + 9 Sum 1  36 = 36 37 2  18 20 36 3  12 15 4 9 4  9 13 13 6  6 12 ( )( ) m m + 4 + 9

Assignment 12 Mastery Problems (MC #)