Question

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.

Answer 1

4x^3 + 2x^2 - 4x + 3 + 7x^3 - 4x^2 + 7x + 8 =
11x^3 - 2x^2 + 3x + 11 <==

** its just a matter of combining like terms

Answer 2

11x^3 - 2x^2 + 3x + 11

Explanation:

we need to find the sum of 4x^3 + 2x^2 - 4x + 3 and 7x^3 -4x^2 + 7x + 8

To find the sum we add both the polynomials

4x^3 + 2x^2 - 4x + 3 + 7x^3 -4x^2 + 7x + 8

To add the polynomials we combine like terms

4x^3 + 7x^3 = 11x^3

2x^2 - 4x^2 = -2x^2

-4x+7x= 3x

3+8 = 11

So final expression is 11x^3 -2x^2 +3x+11