Question

Find the GCF of the terms of the polynomial 33x^3 + 18x^6

A.18x^3

B.3x^6

C.3x^3

D.X^3

Answer 1

We write the factorization of the terms just like if they were numbers:


`33x^3 = 3^1 11^1 x^3`


`18x^6 = 2^1 3^2 x^6`

We take the minimum for each exponent:


`\textrm{GCF} = 2^0 3^1 11 ^0 x^3`



`\textrm{GCF} = 3x^3`

Choice C