What is the standard form of a polynomial $(-2x^3 - 5x + 4) + (4x^3 + 2x-2)$ ?

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Answer 1 · 2017-12-12T12:51:31

See a solution process below:

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

$-2x^3 - 5x + 4 + 4x^3 + 2x - 2$

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

$-2x^3 + 4x^3 - 5x + 2x + 4 - 2$

Now, combine like terms:

$(-2 + 4)x^3 + (-5 + 2)x + (4 - 2)$

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

$2x^3 - 3x + 2$

What is the standard form of a polynomial (-2x^3 - 5x + 4) + (4x^3 + 2x-2) (-2x^3 - 5x + 4) + (4x^3 + 2x-2)?