Find the difference of the polynomials. (3x^2+2x-1)-(-5x^2+8x+4)

Tabansi 2021-09-17 Answered
Find the difference of the polynomials.
\(\displaystyle{\left({3}{x}^{{2}}+{2}{x}-{1}\right)}-{\left(-{5}{x}^{{2}}+{8}{x}+{4}\right)}\)

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Plainmath recommends

  • Ask your own question for free.
  • Get a detailed answer even on the hardest topics.
  • Ask an expert for a step-by-step guidance to learn to do it yourself.
Ask Question

Expert Answer

coffentw
Answered 2021-09-18 Author has 5372 answers
Consider the following expression:
\(\displaystyle{\left({3}{x}^{{2}}+{2}{x}-{1}\right)}-{\left(-{5}{x}^{{2}}+{8}{x}+{4}\right)}\)
\(\displaystyle={\left({3}{x}^{{2}}+{2}{x}-{1}\right)}+{\left({5}{x}^{{2}}-{8}{x}-{4}\right)}\)
\(\displaystyle={3}{x}^{{2}}+{5}{x}^{{2}}+{2}{x}-{8}{x}-{1}-{4}\)
\(\displaystyle={\left({3}+{5}\right)}{x}^{{2}}+{\left({2}-{8}\right)}{x}-{5}\)
\(\displaystyle={8}{x}^{{2}}-{6}{x}-{5}\)
Hence, the solution is \(\displaystyle{8}{x}^{{2}}-{6}{x}-{5}\)
Have a similar question?
Ask An Expert
41
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-09-08
Add the polynomials.
\(\displaystyle{\left({5}{x}^{{4}}+{7}{x}^{{3}}+{2}{x}^{{2}}+{25}{x}-{9}\right)}+{\left({6}{x}^{{4}}-{9}{x}^{{3}}+{8}{x}^{{2}}-{17}{x}+{5}\right)}\)
asked 2021-09-03

Let \(\displaystyle{P}{\left({x}\right)}={8}{x}^{{4}}+{6}{x}^{{2}}-{3}{x}+{1}\) and \(\displaystyle{D}{\left({x}\right)}={2}{x}^{{2}}-{x}+{2}\). Find polynomials \(Q(x)\) and \(R(x)\) such that \(\displaystyle{P}{\left({x}\right)}={D}{\left({x}\right)}\cdot{Q}{\left({x}\right)}+{R}{\left({x}\right)}\).

asked 2021-09-03

To add polynomials, we add ______ terms, So

\(\displaystyle{\left({3}{x}^{{2}}+{2}{x}+{4}\right)}+{\left({8}{x}^{{2}}-{x}+{1}\right)}=\)

asked 2021-08-31
Find the sum of the polynomials:
\(\displaystyle{8}{x}^{{3}}-{2}{x}^{{2}}+{6}{x}-{2}\) and \(\displaystyle{3}{x}^{{4}}-{2}{x}^{{3}}+{x}^{{2}}+{x}\)
asked 2021-09-11

Consider the following polynomials in \(\displaystyle{P}_{{3}}\):
\(\displaystyle{q}{\left({x}\right)}=-{x}^{{3}}+{3}{x}^{{2}}-{x}+{5}\)
\(\displaystyle{r}{\left({x}\right)}=-{4}{x}^{{3}}+{7}{x}^{{2}}-{x}+{10}\)
\(\displaystyle{u}{\left({x}\right)}=-{5}{x}^{{3}}+{8}{x}^{{2}}+{10}\)
For each of the following polynomials, determine whether it is in {q,r,u}. If so, ecpress it as a lineare combination of the polynomials above. Use e.g. q rather than q(x) to represebt the polynomials in your linear combination.
\(\displaystyle{p}_{{1}}{\left({x}\right)}=-{3}{x}^{{2}}-{3}{x}+{10}\)

asked 2021-09-13
Add polynomials:
\(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{3}}+{5}{x}^{{2}}-{3}{x}+{4}\)
\(\displaystyle{g{{\left({x}\right)}}}={x}^{{5}}-{2}{x}^{{2}}-{1}\)
\(\displaystyle{f{{\left({x}\right)}}}+{g{{\left({x}\right)}}}=\)
asked 2021-09-03
Add the polynomials:
\(\displaystyle{\left(-{10}{x}^{{4}}+{8}{x}^{{3}}-{x}^{{2}}+{10}{x}\right)}+{\left(-{8}{x}^{{3}}-{5}{x}^{{2}}-{4}\right)}\)
...