What would be the gcf for these polynomials equations? (1) 2x3 - 8x2 - 9x + 36 (2) 6x4 -10x³ + 3x².PLEASE HELP!!!

3 answers

(1) GCF= 1

(2) GCF= x^2

I'm pretty sure for the 2nd problem it's x^2 but I don't know about 1 x;
find the greatest common factor of a polynomial? show me how you figure out the answers please!!!! greatly appericate it<3
First, there are no equations. See any "=" signs? You just have two polynomials.

You cannot have a GCF for each polynomial. There is a GCF for the two polynomials. The "common" means shared by two or more things.

The first 2x^3 - 8x^2 - 9x + 36
= (x-4)(2x^2 - 9)

The second 6x^4 -10x^3 + 3x^2
= x^2 (6x^2 - 10x + 3)

There is no factor common to both polynomials, so the GCF = 1