6
QuizMultiple Choice

Factoring Polynomials: Double Grouping — Quiz

Question 6 • Algebra I

Which shows one way to determine the factors of x cubed plus 5 x squared minus 6 x minus 30 by grouping?

Answer
A
x times open paren x squared plus 5 close paren minus 6 times open paren x squared plus 5 close paren
B
x squared times open paren x plus 5 close paren minus 6 times open paren x plus 5 close paren
C
x times open paren x squared minus 5 close paren plus 6 times open paren x squared minus 5 close paren
D
x squared times open paren x minus 5 close paren plus 6 times open paren x minus 5 close paren

Explanation

Group the first two terms and the last two terms: (x³ + 5x²) + (−6x − 30). Factoring each group gives x²(x + 5) − 6(x + 5), matching the choice with x + 5 in both parentheses.

AI-written and checked against the verified answer.

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