Question

How do you find the GCF of the terms of the polynomial `33x^3+18x^6`?

Answer 1

See a solution process below:

Explanation:

We can factor each term as:

`33x^3 = color(red)(3) xx 11 xx color(red)(x) xx color(red)(x) xx color(red)(x)`

`18x^6 = 2 xx color(red)(3) xx 3 xx color(red)(x) xx color(red)(x) xx color(red)(x) xx x xx x xx x`

Therefore the Greatest Common Factor is:

`color(red)(3) xx color(red)(x) xx color(red)(x) xx color(red)(x) = 3x^3`