ALGEBRA II HONORS/GIFTED @ ALGEBRA II HONORS/GIFTED - FACTORING and DIVISION of POLYNOMIALS REVIEW 1/18/2019 ALGEBRA II HONORS/GIFTED @ FACTORING and DIVISION.

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ALGEBRA II HONORS/GIFTED @ ALGEBRA II HONORS/GIFTED - FACTORING and DIVISION of POLYNOMIALS REVIEW 1/18/2019 ALGEBRA II HONORS/GIFTED @ FACTORING and DIVISION of POLYNOMIALS REVIEW (or…stuff you probably forgot)

Factor completely. 1) 5x2 – 20x - 105 2) 16x2 – 24x + 9 ANSWER : 5(x – 7)(x + 3) 2) 16x2 – 24x + 9 ANSWER : (4x – 3)2

3) 40x2 - 250 4) 30x3y + 14x2y2 – 4xy3 ANSWER : 10(2x + 5)(2x – 5) ANSWER : 2xy(5x – y)(3x + 2y)

5) 4x3 + 32 6) 216m3 – n3 ANSWER : 4(x + 2)(x2 – 2x + 4) ANSWER : (6m – n)(36m2 + 6mn + n2)

Factoring by Grouping 7) x3 – 3x2 + 5x - 15 8) 3x3 – 15x2 – 12x + 60 ANSWER : (x2 + 5)(x – 3) 8) 3x3 – 15x2 – 12x + 60 ANSWER : 3(x – 5)(x + 2)(x – 2)

Divide. 9) (8x3 + 14x2 – 23x – 2) ÷ (4x – 3) ANSWER : 2x2 + 5x – 2 + -8/4x-3 10) (x4 + 5x3 + 2x2 + 4x – 30) ÷ (x + 5) ANSWER : x3 + 2x - 6 11) Since there is no remainder, what do you know about x + 5? What do you know about -5? ANSWERS : x + 5 is a factor of and -5 is a zero of x4 + 5x3 + 2x2 + 4x – 30.