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The greatest common factor of the terms in the polynomial [tex]\rm 8x^4 - 4x^3 - 18x^2[/tex] is [tex]\rm 2x^2[/tex].

Given

Polynomial; [tex]\rm 8x^4 - 4x^3 - 18x^2[/tex]

Greatest common factor;

The "Greatest Common Factor" is the largest of the common factors (of two or more numbers).

The polynomial is;

[tex]\rm 8x^4 - 4x^3 - 18x^2[/tex]

The coefficients of the terms in this expression are 8, 4, and 18.

The largest number that you can divide all of them with and get a whole number is 2.

So, 2 is part of our greatest common factor.

The exponent of the smallest x term is 2, so x^2 is the other part of our greatest common factor.

Hence,  the greatest common factor of the terms in the polynomial [tex]\rm 8x^4 - 4x^3 - 18x^2[/tex] is [tex]\rm 2x^2[/tex].

To know more about Greatest common factor click the link given below.

https://brainly.com/question/3256580

Answer:

B, 2x^2

Step-by-step explanation:

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