The addition of the polynomials [tex]\rm (2x^4 +x^3-4x^2 +3)[/tex] and [tex]\rm (4x^4-2x^3-x^2 +10x +2)[/tex] is [tex]\rm 6x^4 -x^3-5x^2 +10x +5\\[/tex].
Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
The polynomials are shown below.
[tex]\rm (2x^4 +x^3-4x^2 +3)\ and \ (4x^4-2x^3-x^2 +10x +2)[/tex].
We have to find the addition of the polynomials.
On adding the polynomials, we have
[tex]\rm (2x^4 +x^3-4x^2 +3) + (4x^4-2x^3-x^2 +10x +2)\\\\2x^4 +x^3-4x^2 +3 + 4x^4-2x^3-x^2 +10x +2\\\\6x^4 -x^3-5x^2 +10x +5\\[/tex]
Thus, the addition of the polynomials is [tex]\rm 6x^4 -x^3-5x^2 +10x +5\\[/tex].
More about the polynomials link is given below.
https://brainly.com/question/17822016
