Answer
Explanation given below.
Work Step by Step
A polynomial is an expression containing one term, or the sum of several terms which have the form
term =(real number)$\times$(power of a variable)$\times$(power of a variable)$\times$...$\times$(power of a variable)
The terms can contain one or more variables.
To $\text{add two polynomials,}$
group like terms and add them.
Like terms are terms with exactly the same variable parts.
Example:
$(7x^{3}-2xy^{2}+3y^{2}-x)+(x^{3}-y^{2}+xy^{2}+4)$
Terms with $x^{3}:\qquad 7x^{3}+x^{3}=8x^{3}$
Terms with $xy^{2}:\qquad -2xy^{2}+xy^{2}=-xy^{2}$
Terms with $y^{2}:\qquad 3y^{2}-y^{2}=2y^{2}$
Terms with $x:\qquad-x$
Constant terms$:\qquad 4$
Sum = $8x^{3}-xy^{2}+2y^{2}-x+4$
