15
QuizMultiple Choice

Polynomial Expressions — Test

Question 15 • Algebra 1

Factor x cubed minus 7 x raised to the 2 power minus 5 x plus 35 by grouping. What is the resulting expression?

Answer
A
open paren x squared minus 5 close paren times open paren x minus 7 close paren
B
open paren x squared minus 7 close paren times open paren x plus 5 close paren
C
open paren x squared minus 7 close paren times open paren x minus 5 close paren
D
open paren x squared plus 5 close paren times open paren x minus 7 close paren

Explanation

Group the first two terms and the last two terms: x³ − 7x² − 5x + 35 = x²(x − 7) − 5(x − 7). Since both groups contain (x − 7), factor it out to get (x² − 5)(x − 7), which is choice A.

AI-written and checked against the verified answer.

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