# Add polynomials: -3x^2+2x+6 and -x^2-x-1

texelaare 2021-09-07 Answered
Add polynomials:
$$\displaystyle-{3}{x}^{{2}}+{2}{x}+{6}$$ and $$\displaystyle-{x}^{{2}}-{x}-{1}$$

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## Expert Answer

toroztatG
Answered 2021-09-08 Author has 5688 answers
Given:
$$\displaystyle-{3}{x}^{{2}}+{2}{x}+{6}$$ and $$\displaystyle-{x}^{{2}}-{x}-{1}$$
Calculation:
$$\displaystyle{f{{\left({x}\right)}}}=-{3}{x}^{{2}}+{2}{x}+{6}$$
$$\displaystyle{g{{\left({x}\right)}}}=-{x}^{{2}}-{x}-{1}$$
$$\displaystyle{f{{\left({x}\right)}}}+{g{{\left({x}\right)}}}=-{3}{x}^{{2}}+{2}{x}+{6}+{\left(-{x}^{{2}}-{x}-{1}\right)}$$
$$\displaystyle=-{3}{x}^{{2}}+{2}{x}+{6}-{x}^{{2}}-{x}-{1}$$
$$\displaystyle=-{3}{x}^{{2}}-{x}^{{2}}+{2}{x}-{x}+{6}-{1}$$
$$\displaystyle{f{{\left({x}\right)}}}+{g{{\left({x}\right)}}}=-{4}{x}^{{2}}+{x}+{5}$$

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