2
QuizMultiple Choice

Factoring Polynomials: Difference of Squares — Unit test

Question 2 • FL-1200700-Mathematics for College Algebra MIS

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

Answer
A
(x2 – 7)(x – 5)
B
(x2 – 7)(x + 5)
C
(x2 – 5)(x – 7)
D
(x2 + 5)(x – 7)

Explanation

Group the first two terms and the last two terms: x³ − 7x² − 5x + 35 = x²(x − 7) − 5(x − 7). Factor out the shared factor (x − 7) to get (x² − 5)(x − 7), which is choice C.

AI-written and checked against the verified answer.

Previous
Next