Add the polynomials:(-10x^4+8x^3-x^2+10x)+(-8x^3-5x^2-4)

melodykap 2021-09-03 Answered
Add the polynomials:
\(\displaystyle{\left(-{10}{x}^{{4}}+{8}{x}^{{3}}-{x}^{{2}}+{10}{x}\right)}+{\left(-{8}{x}^{{3}}-{5}{x}^{{2}}-{4}\right)}\)

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Expert Answer

SabadisO
Answered 2021-09-04 Author has 27322 answers
We need to find the given sum of polynomials
\(\displaystyle{\left(-{10}{z}^{{4}}+{8}{x}^{{3}}-{x}^{{2}}+{10}{x}\right)}+{\left(-{8}{x}^{{3}}-{5}{x}^{{2}}-{4}\right)}\)
Remove the parantheses using (-a)=-a
\(\displaystyle-{10}{x}^{{4}}+{8}{x}^{{3}}-{x}^{{2}}+{10}{x}-{8}{x}^{{3}}-{5}{x}^{{2}}-{4}\)
Now group the like terms (terms with same exponent of x)
\(\displaystyle-{10}{x}^{{4}}+{8}{x}^{{3}}-{8}{x}^{{3}}-{x}^{{2}}-{5}{x}^{{2}}+{10}{x}-{4}\)
Now add the like terms
\(\displaystyle-{10}{x}^{{4}}+{\left({8}{x}^{{3}}-{8}{x}^{{3}}\right)}+{\left(-{x}^{{2}}-{5}{x}^{{2}}\right)}+{10}{x}-{4}\)
\(\displaystyle={\left(-{10}{x}^{{4}}-{6}{x}^{{2}}+{10}{x}-{4}\right)}\)
The sum of the polynomials is \(\displaystyle{\left(-{10}{x}^{{4}}-{6}{x}^{{2}}+{10}{x}-{4}\right)}\)
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