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Which polynomial represents the sum: #(5x^4-3x^2-2x)+(2x^4+2x^3+2x^2+x+1)#?

Answer 1

Avery Alexander

See a solution process below:

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

#5x^4 - 3x^2 - 2x + 2x^4 + 2x^3 + 2x^2 + x + 1#

Next, group like terms:

#5x^4 + 2x^4 + 2x^3 - 3x^2 + 2x^2 - 2x + x + 1#

Now, combine like terms:

#5x^4 + 2x^4 + 2x^3 - 3x^2 + 2x^2 - 2x + 1x + 1#

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

#7x^4 + 2x^3 + (-1)x^2 + (-1)x + 1#

#7x^4 + 2x^3 - 1x^2 - 1x + 1#

#7x^4 + 2x^3 - x^2 - x + 1#

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Answer 2

Savannah Anderson

The polynomial that represents the sum is: (7x^4 + 2x^3 - x + 1).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.