Question

What is the greatest common factor of the terms in the polynomial 8x4 – 4x3 – 18x2? 2x 2x2 4x 4x2.

Answer 1

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

Given

Polynomial; $\rm 8x^4 - 4x^3 - 18x^2$

Greatest common factor;

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

The polynomial is;

$\rm 8x^4 - 4x^3 - 18x^2$

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 $\rm 8x^4 - 4x^3 - 18x^2$ is $\rm 2x^2$.

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