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Geometry Review of Factoring 1. Greatest Common Monomial What can I divide every term by? Examples: 16x2 + 20xy + 8 Name _____________________ 9x3 + 15x2 + 3x 2. Difference of Squares Two terms. Both numbers are perfect squares. Subtraction problem. ( + )( ) Examples: x2 – 25 2x2y + 10xy3 9x2 – 100 16x2 – 36y2 3. Perfect Square Trinomials Three terms. 1st and last terms are perfect squares. Check your answer – multiply together and double it. ( )2 Examples: x2 + 16x + 64 3x2 – 30x + 75 16x2 + 56x + 49 4. Factoring x2 + bx + c What multiplies up to the last number and adds up to the second number. (x )(x ) Examples: 2x2 + 18x + 40 x2 – 9x + 18 x2 + 5x – 14 Perfect Squares ----------1 = 12 4 = 22 9 = 32 16 = 42 25 = 52 36 = 62 49 = 72 64 = 82 81 = 92 100 = 102 121 = 112 144 = 122 169 = 132 5. Factoring ax2 + bx + c Multiply the first and last number. What multiplies up to that number and adds up to the second number. a a and 2nd # 1st # Put in lowest terms ( )( ) Examples: 2x2 – 7x – 4 5x2 – 11x + 2 2x2 + 4x + 2 Practice:. First tell what step you will use and then factor. 1. 4. x2 – 10x + 21 4x2 – 1 step _______ step _______ 2. 5. 12x3 + 4x2 + 8x step ________ 25x2 + 20x + 4 step _________ 3. 3x2 + 11x – 4 step _______