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.

The terms 4x³ and 8x share the factor 4x, and 4x³ and −6x² share the factor 2x², so A and B are true. You can group the polynomial as (4x³ − 6x²) + (8x − 12) to get (2x² + 4)(2x − 3), or as (4x³ + 8x) + (−6x² − 12) to get (4x − 6)(x² + 2). Both groupings lead to a factorization, so E is true. The expression in D does not expand to the given polynomial, and the polynomial is not prime.

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