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The greatest common factor, or GCF, of an algebraic expression, is the greatest monomial that can divide evenly into allterms of the expression. For example, the GCF of 30x2y + 20y is 10y. What is the GCF of this binomial? 2x2 - 12 Hint: Sometimes the GCF will have a coefficient AND a variable! What is the GCF of this binomial? 4x2 - 16x What is the GCF of this trinomial? 15x2y - 5xy - 10y What is the GCF of this trinomial? 8x2 - 4x - 20 What is the GCF of this trinomial? 15x3 - 9x2 - 3x What goes outside the parenthesis when factoring 15x – 25? 15x - 25 = GCF (3x - 5 ) Factor 2x2 + 36x by factoring out the GCF. 2x2 + 36x = ( x + 18 ) Factoring the Difference of Perfect Squares a2 – b2 is a special product binomial. It can be classified as the "difference of perfect squares" a2 – b2 factors into: (a – b)(a + b) 4x2 - 9 = ( - 3 ) ( 2x + 3 ) Fill in the missing term. x2 - 16 = ( x - 4 ) ( x + ) Fill in the missing term. x2 - 121 = ( x - ) ( x + ) Fill in the missing term. 9x2 - 25 = ( - ) ( + ) Fill in the missing terms. x2y2 - 100 = ( - 10 ) ( + ) Fill in the missing terms. Factor the expression. 49x2 - 25y2 (7x – 5y)(7x – 5y) (7x – 5)(7x + 5) (7x – 5y)(7x + 5y) can not be factored Factor the expression. x2 + 9y2 (x + 3y)(x – 3y) (x – 3y)(x + 3y) (x – 3y)(x – 3y) can not be factored Please hit OK to see your score! If your score is less than 80%, you will be invited to try again. Factoring the Difference of Perfect Squares a2 – b2 is a special product binomial. It can be classified as the "difference of perfect squares" a2 – b2 factors into: (a – b)(a + b) |