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Solution: Given, the polynomials are (-x2 + 9) and (-3x2 - 11x + 4). The sum of the polynomials is found by removing the parathesis and grouping the like terms. Therefore, the adding the polynomials we get -4x2 - 11x - 5.
What is an example of subtracting polynomials? An example of subtracting polynomials would be (4x-2) - (7x+6). First, 4x-7x would be -3x, and second, -2-6 would be -8. Thus, the answer would be -3x-8.
Summary: The sum of the given polynomial, (7x3 - 4x2) + (2x3 - 4x2) is 9x3 - 8x2.
Adding and subtracting polynomials can be thought of as just adding and subtracting like terms. Look for like termsthose with the same variables with the same exponent. The Commutative Property allows us to rearrange the terms to put like terms together. It may also be helpful to underline, circle, or box like terms.
The difference between the two polynomials (9x2 + 8x) - (2x2 + 3x) is 7x2 + 5x.
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Adding polynomials is defined as summing up the like terms of two or more algebraic expressions by retaining their sign to get the result. It is very similar to a regular addition operation. For example: Lets add 3x + 8 and - 2x + 1. This will be (3x - 2x) + (8 + 1) = x + 9.

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