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Algebra I Module 3 Test #6 Review Name Period Date For the test Wednesday, you need to know the following topics: Multiplying & squaring binomials Factoring using GCF, DOTS, & basic trinomials Factoring trinomials with leading coefficients Factoring completely Multiplying & Squaring Binomials Express the following in standard form. 1.) (x – 5)(x + 2) 2.) (x – 7)(x – 8) 3.) (x + 5)2 4.) (2x – 3)(x + 1) 5.) (3x + 1)(2x – 5) 6.) (x2 – 5x + 10)(2x – 3) Factoring Using GCF, DOTS, and trinomials When factoring, what should you ALWAYS look for first? DOTS stands for the D Of T S When factoring trinomials, you need to find two numbers that will to the LAST number but or to the middle number. Factoring completely is a MAJOR hint that you will need to factor once. than Factor the following expressions. 1.) x2 – 36 2.) 2x3 – 18x2 + 6x 3.) x2 – 2x – 35 4.) x2 – 8x + 15 5.) x2 + 17x + 16 6.) 9x2 – 64 7.) 3x5 + 6x3 – 21x2 8.) x2 – 9x + 20 9.) 64x2 – 9y2 10.) If the area of a rectangle is expressed as x4 – 25y2, then the product of the length and the width of the rectangle could be expressed as (a) (c) (x2 – 5y)(x2 – 5y) (x2 + 5y)(x2 – 5y) 11.) Factor (b) (d) x3 + 4x2 + 3x + 12 (x – 5y)(x + 5y) (x4 + y)(x – 25y) 1.) 4x2 – 25 FACTORING PRACTICE 2.) x2 – 11x + 18 3.) x2 + 15x – 34 4.) x2 – 9x + 20 5.) 12x7 – 20x5 + 16x4 6.) 2x3 + 8x2 – 4x 7.) 9x2 – 25y2 8.) x2 – 11x + 18 9.) 15x7 – 30x2 + 40x 10.) x2 – 8x – 20 Factoring Trinomials with Leading Coefficients 1.) 3x2 + 10x – 8 2.) 4x2 – 5x – 6 3.) 2x2 + 3x – 20 4.) 4x2 + 11x + 6 Factor the following expressions completely. 1.) x3 – 13x2 – 30x 2.) x4 + 5x2 – 6 3.) 4.) x4 – 16 Factoring Completely x4 – 10x2 + 25 5.) x4 – 10x2 + 9 6.) 81x4 – 1 7.) 25x4 – 16 8.) 2x3 + 8x2 – 24x 1.) 2x2 3.) x2 – 8x – 20 4.) x4 – 7x2 + 6 5.) x2 + 20x + 36 6.) 2x3 – 16x2 + 10x –8 FACTORING PRACTICE 2.) 3x2 + 30x + 48 7.) x2 + x – 20 8.) 9.) x2 – 11x + 18 10.) x2 + 15x – 34 1.) x8 3.) x2 – 15x – 544 – 256 4x2 – 25 Challenge Questions 2.) 81x4 – 16 4.) x2 – 67x + 990