Question

How do you find the GCF of `60x ^ { 2} + 30x + 10`?

Answer 1

See a solution process below:

Explanation:

We can factor each individual term as:

`60x^2 = color(red)(2) * 2 * 3 * color(red)(5) * x * x`

`30x = color(red)(2) * 3 * color(red)(5) * x`

`10 = color(red)(2) * color(red)(5)`

Therefore the Greatest Common Factor (GCF) is:

`color(red)(2) * color(red)(5) = 10`