Add the given polynomials. 6x^2+8x+4 and -7x^2-7x-10

Tolnaio 2021-09-05 Answered
Add the given polynomials.
\(\displaystyle{6}{x}^{{2}}+{8}{x}+{4}\) and \(\displaystyle-{7}{x}^{{2}}-{7}{x}-{10}\)

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Expert Answer

Asma Vang
Answered 2021-09-06 Author has 24312 answers
We have to add the given polynomials:
\(\displaystyle{6}{x}^{{2}}+{8}{x}+{4}\) and \(\displaystyle-{7}{x}^{{2}}-{7}{x}-{10}\)
Adding the given polynomial,
\(\displaystyle{\left({6}{x}^{{2}}+{8}{x}+{4}\right)}+{\left(-{7}{x}^{{2}}-{7}{x}-{10}\right)}\)
Removing the parentheses, we get
\(\displaystyle{\left({6}{x}^{{2}}+{8}{x}+{4}\right)}+{\left(-{7}{x}^{{2}}-{7}{x}-{10}\right)}={6}{x}^{{2}}+{8}{x}+{4}-{7}{x}^{{2}}-{7}{x}-{10}\)
Simplifying further by combining similar terms, we get
\(\displaystyle{6}{x}^{{2}}+{8}{x}+{4}-{7}{x}^{{2}}-{10}={6}{x}^{{2}}-{7}{x}^{{2}}+{8}{x}-{7}{x}+{4}-{10}\)
\(\displaystyle=-{x}^{{2}}+{x}-{6}\)
Hence, required answer is \(\displaystyle-{x}^{{2}}+{x}-{6}\)
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