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

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Answer 1 · 2017-05-12T13:19:26

See a solution process below:

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#