What is the standard form of a polynomial #(x^2-3x+5)+(x^2+2x-3)#?

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Answer 1 · 2018-06-19T22:40:24

See a solution process below:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

#x^2 - 3x + 5 + x^2 + 2x - 3#

Next, group like terms:

#x^2 + x^2 - 3x + 2x + 5 - 3#

Now, combine like terms:

#1x^2 + 1x^2 - 3x + 2x + 5 - 3#

#(1 + 1)x^2 + (-3 + 2)x + (5 - 3)#

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

#2x^2 - 1x + 2#

#2x^2 - x + 2#