Find the sum of the polynomial functions. P(x)=5x^4-4x+4 and R(x)=2x^5-3x-8 , P(x)+R(x)=?

vazelinahS 2021-09-12 Answered
Find the sum of the polynomial functions.
\(\displaystyle{P}{\left({x}\right)}={5}{x}^{{4}}-{4}{x}+{4}\)
and
\(\displaystyle{R}{\left({x}\right)}={2}{x}^{{5}}-{3}{x}-{8}\)
\(\displaystyle{P}{\left({x}\right)}+{R}{\left({x}\right)}=?\)

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Expert Answer

hesgidiauE
Answered 2021-09-13 Author has 16664 answers
Given,
\(\displaystyle{P}{\left({x}\right)}={\left({5}{x}^{{4}}-{4}{x}+{4}\right)}\)
\(\displaystyle{R}{\left({x}\right)}={\left({2}{x}^{{5}}-{3}{x}-{8}\right)}\)
To add polynomials, combine and add the coefficient near the like terms:
\(\displaystyle{P}{\left({x}\right)}+{R}{\left({x}\right)}={\left({5}{x}^{{4}}-{4}{x}+{4}\right)}+{\left({2}{x}^{{5}}-{3}{x}-{8}\right)}\)
\(\displaystyle={2}{x}^{{5}}+{5}{x}^{{4}}+{\left({\left(-{4}\right)}+{\left(-{3}\right)}\right)}{x}+{\left({4}+{\left(-{8}\right)}\right)}\)
\(\displaystyle={2}{x}^{{5}}+{5}{x}^{{4}}-{7}{x}-{4}\)
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