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2.3 Factor and Solve Polynomial Expressions Pg. 76 Factoring: • When Factoring expressions, there is an order to follow when solving: – GCF 3a 2 6a 3a(a 2) • Greatest Common Factor • This is for any polynomial – Difference of Perfect Squares • Each term must be a perfect square • Coefficients must be perfect squares and even exponents on the variables • This is for only BINOMIALS – Reverse Foil • Finding the factors of the “C” term that when added together make the “B” term with the correct sign Remember to Completely Factor GCF (Greatest Common Factor) 3a 6a 2 x y x y 2 3 3 2 3 x 12 x 12 x 3 2 Difference of Perfect Squares • Must be a Binomial • Must have subtraction between the terms x 9 2 4 x 36 2 25 x 2 49 y 4 Reverse Foil Factoring x2 + bx + c • To factor an expression of the form ax2 +bx + c where a =1 Look for integers “r and s” such that (r) (s) = c and r + s = b. Then use “r & s” in the factors of the expression. x 2 bx c ( x r )( x s) Example: x 5x 6 2 x 2 9 x 20 x 2 7 x 30 x 2 10 x 11 Homework Factoring Review Worksheet #1