80399
AssignmentMultiple Choice

Factoring Polynomials Completely

Question 80399 • Common Core Algebra I B-IC

Factor the polynomial completely.4x3 – 12x2 + 7x – 214x2(x – 3) + 7(x – 3)Which is the completely factored polynomial?

Answer
A
4x2(x + 4)
B
3x2(x – 3)
C
(4x2 – 7)(x + 3)
D
(4x2 + 7)(x – 3)

Explanation

Group the terms: 4x³ − 12x² + 7x − 21 = 4x²(x − 3) + 7(x − 3). Both groups contain the common factor (x − 3), so factoring it out gives (4x² + 7)(x − 3), choice D.

AI-written and checked against the verified answer.

Previous
Next