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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.

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Answer:

1 The terms 4x3 and 8x have a common factor.

2 The terms 4x3 and – 6x2 have a common factor.

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


Step-by-step explanation:

The Option A , B and E are the correct options that apply to the polynomial.

What is a Polynomial ?

An expression that only uses the operations of addition, subtraction,  and non-negative integer exponentiation of variables, and consists of  variables and coefficients  is called a polynomial.

The polynomial given in the question is

4x³ – 6x² + 8x – 12

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

Therefore Option A , B and E are the correct options that apply to the polynomial.

To know more about Polynomial

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