What is the standard form of a polynomial #(x^2 + x + 2) + (3x^2 - 2x + 10)#?

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Answer 1 · 2017-11-14T17:52:28

See a solution process below:

First, remove all of the terms from parenthesis:

#x^2 + x + 2 + 3x^2 - 2x + 10#

Next, group like terms in descending order of the power of their exponents:

#x^2 + 3x^2 + x - 2x+ 2 + 10#

Now, combine like terms:

#1x^2 + 3x^2 + 1x - 2x + 2 + 10#

#(1 + 3)x^2 + (1 - 2)x + (2 + 10)#

#4x^2 + (-1)x + 12#

#4x^2 - 1x + 12#