Question

How do you combine like terms in `3x ^ { 2} + 2x - 2+ 3x ^ { 0}`?

Answer 1

See a solution process below:

Explanation:

First, use this rule of exponents to rewrite the right most term:

`a^color(red)(0) = 1`

`3x^2 + 2x - 2 + 3x^0 =>`

`3x^2 + 2x - 2 + (3 * 1) =>`

`3x^2 + 2x - 2 + 3`

We can now combine the constants which are the only like terms:

`3x^2 + 2x + (-2 + 3)`

`3x^2 + 2x + 1`