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The sum of the two polynomials 4x³+2x²-4x+3 and 7x³-4x² +7x+8 is 11x³-2x²+3x+11.
Algebraic expressions called polynomials include coefficients and variables. For polynomial expressions, we can perform mathematical operations like addition, subtraction, multiplication, and positive integer exponents. Polynomial addition is the process of adding like terms from two or more algebraic equations while maintaining the sign of each term.
Here, given two polynomials 4x³+2x²-4x+3 and 7x³-4x² +7x+8.
First, arrange the given polynomials. The polynomials were already arranged from the increasing to decreasing order of degree. Then,
(4x³+2x²-4x+3)+ (7x³-4x² +7x+8)
Second, group the like terms from both polynomials.
(4x³+7x³)+(2x²-4x²)+(-4x+7x)+(3+8)
Now, simplifying the combining terms, we get,
11x³-2x²+3x+11
The answer is 11x³-2x²+3x+11.
The complete question is -
Add the following polynomials, then place the answer in the proper location on the grid. write the answer in descending powers of x. Find the sum of 4x³+2x²-4x+3 and 7x³-4x² +7x+8.
To know more about polynomials:
https://brainly.com/question/17822016
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