Question

Polynomials // ALGEBRA 2

PLEASE HELP!! I only have half of the answer completed ...

Answer 1

-5b^4 -11b^2

Explanation:

Polynomials are added by adding like terms. Like terms have the same variable(s) to the same power(s).

Sum

The simplified form of the given sum is ...

`(-5b^2-4b^4)+(-6b^2-b^4)\\\\=-5b^2-4b^4-6b^2-b^4\qquad\text{eliminate parentheses}\\\\= -5b^2-6b^2-4b^4-b^4\qquad\text{group like terms}\\\\=(-5-6)b^2+(-4-1)b^4\qquad\text{show coefficients}\\\\=-11b^2-5b^4\qquad\text{combine coefficients}\\\\=\boxed{-5b^4-11b^2}\qquad\text{decreasing order of exponents (standard form)}`