Factoring Polynomials: Double Grouping 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)

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)

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)

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