What is the standard form of a polynomial #(2x^3 - 4x^2+3)+(x^3-3x^2 +1)#?

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Answer 1 · 2017-06-28T01:55:51

See a solution process below:

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

#2x^3 - 4x^2 + 3 + x^3 - 3x^2 + 1#

Next, group like terms:

#2x^3 + x^3 - 4x^2 - 3x^2 + 3 + 1#

Now, combine like terms:

#2x^3 + 1x^3 - 4x^2 - 3x^2 + 3 + 1#

#(2 + 1)x^3 + (-4 - 3)x^2 + (3 + 1)#

#3x^3 + (-7)x^2 + 4#

#3x^3 - 7x^2 + 4#