Question

What is the sum of the polynomials?
11x^2-5
+ x+4

Answer 1

11x²-5
+ x+4
________
11x²+x-1

because x² and x is different they dont add together

Answer 2

The sum of the polynomials is 11x^2 + x - 1

Explanation:

Given:

The given polynomials are:

11x^2 - 5 and x + 4

When we add the polynomials, we add only the like terms.

The like terms are the terms having the same variable with the same degree.

For examples, i ) 2x and 3x are like terms ii) -3x^3 and 5x^3 are the like terms

These terms have the same variable with the same power of x.

Given: 11x^2 - 5 and x+4

Here the like terms are -5 and 4

-5 + 4 = -1

When we add them, we get 11x^2 + x -1