Answers Common Core Algebra I B-ICFactoring Polynomials: Double Grouping

Factoring Polynomials: Double Grouping Answers

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Which polynomial is prime?

7x2 – 35x + 2x – 10

9x3 + 11x2 + 3x – 33

10x3 – 15x2 + 8x – 12

12x4 + 42x2 + 4x2 + 14

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Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

(6x + 5)(x2 – 2)

(6x – 5)(x2 + 2)

(6x2 + 5)(x2 – 2)

(6x2 – 5)(x2 + 2)

Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?

2x2(6x – 1) + 3(6x – 1)

2x2(6x – 1) – 3(6x – 1)

6x(2x2 – 3) – 1(2x2 – 3)

6x(2x2 + 3) + 1(2x2 + 3)

Factor 15x3 – 5x2 + 6x – 2 by grouping. What is the resulting expression?

(5x2 + 2)(3x – 1)

(5x2 – 2)(3x + 1)

(15x2 + 2)(x – 1)

(15x2 – 2)(x + 1)

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