Question

Find the greatest common factor 4z^8-20z^6+48z^4

Answer 1

First, find the greatest numeric factor: gcd(4, 20, 48) = 4.
The smallest power of z present is z^4.

So the greatest common factor is 4z^4.

Factorization: 4z^8 − 20z^6 + 48z^4 = 4z^4(z^4 − 5z^2 + 12).