Factoring Polynomials: Double Grouping

Question 13 • *FL-1200310-Algebra 1 Sem 2

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

Answer

x(x2 – 5) + 6(x2 – 5)

x(x2 + 5) – 6(x2 + 5)

x2(x – 5) + 6(x – 5)

x2(x + 5) – 6(x + 5)

Group the first two terms and the last two terms: (x³ + 5x²) + (−6x − 30). Factoring each group gives x²(x + 5) − 6(x + 5), which matches choice D.

AI-written and checked against the verified answer.

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