Factoring Review Essays

Factoring Review Essays Factoring Review Essay Factoring Review Essay Factoring Mixed Review Part I: Factoring Completely Factoring Completely – The process of factoring multiple times until a number or expression cannot be further factored. Review: Step 1: First look for a GCF. Factor using the GCF method, if possible. Step 2: Look inside the parentheses Check for the Difference of Two Perfect Squares (DOTS) OR Factor the trinomial into the product of two binomials Directions: Factor each of the following expressions completely. 1) 4x + 8y |2) 32 48 |3) 23 – 50x | | | | | | | | | | | | | | | | | | | | | |4) 23 – 22 – 12x |5) 32 – 18x + 24 |6) x4 81 | | | | | | | | | | | | | | | | | | | | | | | | |7) [pic] |8) [pic] |9) [pic] | | | | | | | | | | | | | | | | | | | | | |10) [pic] |11) [pic] |12) [pic] | | | | | | | | | | | | | | | | | | | | | | | | | Part II: Greatest Common Factor (GCF) Review: Step 1: Pull out the GCF and open parentheses Step 2: Divide each term of the expression by the GCF and place in parentheses Directions: Factor each of the following using the Greatest Common Factor 74 – 14xy |14) 3ab2 – 6a2b |15) 53 + 6xy | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |16) 12x7y – 4xy |17) 81r3s – 9 |18) xyz + 3x2y2z2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Part III: Difference of Two Perfect Squares (DOTS) Review:Step 1: Open two sets of parentheses (one with a +, one with a ) Step 2: Take the square root of each term and place them inside parentheses Directions: Factor each of the following expressions using The Difference of Two Perfect Squares |19) x2 – 225 |20) x4 – 49 |21) 100 – x6 |22) 162 25 | | | | | | | | | | | | | | | | | | | | |23) 258 – 144y2 |24) 4b2 – 169y2 |25) x4 – y2 |26) x2 + 49 | | | | | | | | | | | | | | | | | | | | | Part IV: Factoring Trinomials (Product Sum or PS) Review: ax2 + bx + cStep 1: Find two numbers that multiply to c AND also add to b Step 2: Place them in the parentheses in the blanks (x ___) (x___) with + for positive numbers and – for negative numbers Directions: Factor each of the following trinomials. | | | | |27) y2 + 6y + 5 |28) x2 9x + 20 |29) x2 + 7x + 12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |30) m2 -2m 15 |31) x2 + 6x + 8 |32) x2 + 9x -36 | | | | | | | | | | | | | | | | | | | | | | | | |