Answers FL-1200310-Algebra 1Factoring Polynomials: Double Grouping

Factoring Trinomials: a = 1 Answers

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Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?

x2(x – 9) – 5(x – 9)

x2(x + 9) – 5(x + 9)

x(x2 + 5) – 9(x2 + 5)

x(x2 – 5) – 9(x2 – 5)

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 x3 + x2 + x + 1 by grouping. What is the resulting expression?

(x2)(x + 1)

(x2 + 1)(x)

(x2 + 1)(x + 1)

(x3 + 1)(x + 1)

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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