Question

Find the gcf of the terms of the polynomial 18x4 -27x3-36x2

Answer 1

The answer would be 9x^2 

Answer 2

The GCF will be 9x²

Explanation

For finding the GCF of the terms, first we need to factor out each terms completely. So...

$18x^4 = 2*3*3*x*x*x*x\\ \\ 27x^3= 3*3*3*x*x*x\\ \\ 36x^2= 2*2*3*3*x*x$

Now we will look for the common factors in all three terms. Those are $3,3,x$ and $x$

So the GCF will be : $3*3*x*x = 9x^2$