Question

HElp ME PLZ:[

Which statements are true about the polynomial 4x3 – 6x2 + 8x – 12? Check all that apply.

The terms 4x3 and 8x have a common factor.
The terms 4x3 and – 6x2 have a common factor.
The polynomial is prime.
The factored polynomial is (2x2 – 3)(2x + 4).
The polynomial can be grouped in different ways to factor by grouping.

Answer 1

A, B, and E

Explanation:

A. The terms 4x³ and 8x have a common factor (it is 4x)

B. The terms 4x3 and – 6x2 have a common factor (it is 2x²)

E. The polynomial can be grouped in different ways to factor by grouping.

( (4x³ - 6x²) + (8x - 12) ⇒ 2x²(2x-3) + 4(2x-3) ⇒ (2x²+4)(2x-3) )