80418
AssignmentMultiple Choice

Factoring Polynomials Completely

Question 80418 • Common Core Algebra I B-IC

Completely factor the polynomial 8x2 – 24x + 20x – 60.

Answer
A
8x(x + 3)(x – 5)
B
(4x – 3)(2x – 5)
C
2(2x – 3)(2x + 5)
D
4(x – 3)(2x + 5)

Explanation

Group the terms: (8x² − 24x) + (20x − 60) = 8x(x − 3) + 20(x − 3). Factor out the common binomial to get (x − 3)(8x + 20), then factor 4 from the second factor: 4(x − 3)(2x + 5). This matches choice D, 4(x − 3)(2x + 5).

AI-written and checked against the verified answer.

Previous
Next