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QuizMultiple Choice

Factoring Polynomials: Double Grouping — Quiz

Question 3 • Algebra I

Which shows one way to determine the factors of x cubed plus 11 x squared minus 3 x minus 33 by grouping?

Answer
A
x squared times open paren x plus 11 close paren plus 3 times open paren x minus 11 close paren
B
x squared times open paren x plus 11 close paren minus 3 times open paren x plus 11 close paren
C
x squared times open paren x minus 11 close paren minus 3 times open paren x minus 11 close paren
D
x squared times open paren x plus 11 close paren plus 3 times open paren x plus 11 close paren

Explanation

Group the first two terms and the last two terms: (x³ + 11x²) + (−3x − 33). Factoring each group gives x²(x + 11) − 3(x + 11), which matches choice B. Both groups share the factor (x + 11), allowing you to continue factoring.

AI-written and checked against the verified answer.

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