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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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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 [tex]4x^3-6x^2+8x-12[/tex] can be done by using the arithmetic operations and according to this the correct statements can be determine.

Given :

Polynomial equation - [tex]4x^3-6x^2+8x-12[/tex]

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

Step 1 - Find the greatest common factor.

[tex]=4x^3-6x^2+8x-12[/tex]

[tex]=2x^2(2x-3)+4(2x-3)[/tex]

Step 2 - Now, take the common term out.

[tex]=(2x-3)(2x^2+4)[/tex]

Therefore, the correct statements are: The terms [tex]4x^3[/tex] and [tex]8x[/tex] have a common factor; The terms [tex]4x^3[/tex] and [tex]-6x^2[/tex] 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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