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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.

Verified Answer :

corinaco

hi


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.


are right!


:)

The simplification of the polynomial equation \(4x^3-6x^2+8x-12\) can be done by using the arithmetic operations and according to this the correct statements can be determine.

Given :

Polynomial equation - \(4x^3-6x^2+8x-12\)

To solve the above polynomial equation followig steps can be use:

Step 1 - Find the greatest common factor.

\(=4x^3-6x^2+8x-12\)

\(=2x^2(2x-3)+4(2x-3)\)

Step 2 - Now, take the common term out.

\(=(2x-3)(2x^2+4)\)

Therefore, the correct statements are: The terms \(4x^3\) and \(8x\) have a common factor; The terms \(4x^3\) and \(-6x^2\) have a common factor and The polynomial can be grouped in different ways to factor by grouping.

For more information, refer the link given below:

https://brainly.com/question/25277844

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