3
lesson pretestMultiple Choice

Pretest

Question 3 • Algebra 1

Which shows one way to determine the factors of x cubed minus 9 x squared plus 5 x minus 45 by grouping?

Answer
A
x squared times open paren x plus 9 close paren minus 5 times open paren x plus 9 close paren
B
x times open paren x squared minus 5 close paren minus 9 times open paren x squared minus 5 close paren
C
x times open paren x squared plus 5 close paren minus 9 times open paren x squared plus 5 close paren
D
x squared times open paren x minus 9 close paren minus 5 times open paren x minus 9 close paren

Explanation

Regroup the terms as x³ + 5x − 9x² − 45. Factoring x from the first two terms and −9 from the last two gives x(x² + 5) − 9(x² + 5), which matches choice C. Both groups have the common factor (x² + 5), so this grouping can be factored further.

AI-written and checked against the verified answer.

Previous
Next