Answers CA-Common Core Math II AOperations on Rational and Irrational Numbers

Factoring Trinomials: a = 1 Answers

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Which shows one way to determine the factors of x3 – 12x2 – 2x + 24 by grouping?

x(x2 – 12) + 2(x2 – 12)

x(x2 – 12) – 2(x2 – 12)

x2(x – 12) + 2(x – 12)

x2(x – 12) – 2(x – 12)

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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 – 4x2 + 7x – 28 by grouping. What is the resulting expression?

(x2 – 4)(x + 7)

(x2 + 4)(x – 7)

(x2 – 7)(x + 4)

(x2 + 7)(x – 4)

Which shows one way to determine the factors of x3 + 5x2 – 6x – 30 by grouping?

x(x2 – 5) + 6(x2 – 5)

x(x2 + 5) – 6(x2 + 5)

x2(x – 5) + 6(x – 5)

x2(x + 5) – 6(x + 5)

Which polynomial is prime?

x3 + 3x2 – 2x – 6

x3 – 2x2 + 3x – 6

4x4 + 4x3 – 2x – 2

2x4 + x3 – x + 2

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