5
QuizMultiple Choice

Factoring Polynomials: Double Grouping — Quiz

Question 5 • Algebra I

Which shows one way to determine the factors of x cubed minus 12 x squared minus 2 x plus 24 by grouping?

Answer
A
x times open paren x squared minus 12 close paren plus 2 times open paren x squared minus 12 close paren
B
x squared times open paren x minus 12 close paren minus 2 times open paren x minus 12 close paren
C
x times open paren x squared minus 12 close paren minus 2 times open paren x squared minus 12 close paren
D
x squared times open paren x minus 12 close paren plus 2 times open paren x minus 12 close paren

Explanation

Group the first two terms and the last two terms: (x³ − 12x²) + (−2x + 24). Factoring each group gives x²(x − 12) − 2(x − 12), which matches “x squared times (x minus 12) minus 2 times (x minus 12).”

AI-written and checked against the verified answer.

Previous
Next