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2.5 – Factoring Quadratics Special Cases. Special Case #1: Perfect Squares You can recognize this case because the coefficient of x and the constant are both perfect squares. The coefficient of x has to be 2 x a x b!. Factor:. = 4. = 3. 4. 3. Check 2x4x3 = 24. Factor:. = 9.
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Special Case #1: Perfect Squares You can recognize this case because the coefficient of x and the constant are both perfect squares. The coefficient of x has to be 2 x a x b!
Factor: = 4 = 3 4 3 Check 2x4x3 = 24
Factor: = 9 = 7 9 7 Check 2x9x7 = 126
Factor: Always check for common factors first! = 2 = 5 5 2 Check 2x5x2 = 20
Factor: = y = 4 4 y Check 2 x 4 x y = 8y
Special Case #2: Difference of Squares You can recognize this case because there are only two terms and there is always a “-” between them!
Factor: = 3 = 10 10 10 3 3
Factor: = 11 = 8 11 11 8 8
Factor: Always check for common factors first! = 1 = 5 5 5 1 1
Homework: Page 115 #2 – 12