1. FACTORING QUADRATICTRINOMIALSFACTORING QUADRATICTRINOMIALSFACTORING QUADRATICTRINOMIALSFACTORING QUADRATICTRINOMIALS MASTER PRODUCT METHOD © 2004 Fred Rheinhardt

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3. MASTER PRODUCT METHOD General Form ax 2 + bx + c Problem to be factored 2x 2 + 5x + 3 a = 2 b = 5 c = 3

4. (2 ) Draw a fraction bar. Draw a fraction bar. Place two sets of parentheses on top of the fraction bar. Place two sets of parentheses on top of the fraction bar. Write the value of a in three places. Write the value of a in three places. Write the variable in the numerator. Write the variable in the numerator. ( ) (2 ) 2 x x 2x 2 + 5x + 3

5. a = 2 b = 5 c = 3 Multiply a times c 2 times 3 equals 6 Try to find m and n such that m n = 6 and m + n = 5 m = 3 and n = 2

6. ( 2x + ) ( 2x + ) ( 2x + ) ( 2x + ) 2 Write the values of m and n in the numerator. Write the values of m and n in the numerator. Find the GCF of each binomial in the numerator. Find the GCF of each binomial in the numerator. Cross out names for one. Cross out names for one. Write the final answer. Write the final answer. ( x + 1 ) ( 2x + 3 ) 2 2( x + 1 )( 2x + 3 ) 2 ( x + 1 ) ( 2x + 3 ) 32 2