Question

find the gcf of the terms of the polynomial.
$6z^{4}-30z^{3}+10z^{2}$

Explanation:

Step1: Find GCF of coefficients

List factors: $6: 1,2,3,6$; $30:1,2,3,5,6,10,15,30$; $10:1,2,5,10$.
GCF of 6,30,10 is 2.

Step2: Find GCF of variable terms

Variable terms: $z^4, z^3, z^2$.
Lowest exponent is 2, so GCF is $z^2$.

Step3: Combine GCFs

Multiply coefficient and variable GCFs.
$2 \times z^2 = 2z^2$

Answer:

$2z^2$