GCF & Trinomials



Name: __________________________________________ Date: _____________________________GCF FactoringIntroduction to Factoring out GCF“Factor” simply means to UNDISTRIBUTE.Distributed VersionFactored Version5x(x + 3)2x2(x – 4)2x2 – 4x15x2 – 5x + 30More formal Definition:Factoring: Writing the polynomial as a product.Steps to Factoring Out a GCF:Find the GCF of all its terms (number and/or variables). For variables ALL the terms must have the variable. Choose the smallest exponent! The GCF goes to the LEFT!Write the polynomial as a product by dividing the original terms of the polynomial by the GCF.The remaining factors in each term will form a polynomial. You’ll always have the same number of terms you started with.Factor using a GCF: PRACTICE: Factor each polynomial using a GCF. ReviewSimplify each expression. Given the functions f(x) = 3x – 2 and g(x) = x2 – 6x + 2Find f(6) 16. Find g( -2) 17. Find f(-1) + g(3)4511074133985x2 – 2x + 600x2 – 2x + 6Find the area and perimeter of the rectangle. 4266967359200571185435565x – 4 x – 4 ................
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