Determine the product of the polynomials.4x^2(3x^3+2x^2-5x+1)

illusiia 2021-09-16 Answered
Determine the product of the polynomials.
\(\displaystyle{4}{x}^{{2}}{\left({3}{x}^{{3}}+{2}{x}^{{2}}-{5}{x}+{1}\right)}\)

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Expert Answer

nitruraviX
Answered 2021-09-17 Author has 26531 answers
Expand the polynomials as, \(\displaystyle{4}{x}^{{2}}{\left({3}{x}^{{3}}+{2}{x}^{{2}}-{5}{x}+{1}\right)}\)
\(\displaystyle={4}{x}^{{2}}\times{3}{x}^{{3}}+{4}{x}^{{2}}\times{2}{x}^{{2}}+{4}{x}^{{2}}\times{\left(-{5}{x}\right)}+{4}{x}^{{2}}\times{1}\)
\(\displaystyle={12}{x}^{{{2}+{3}}}+{8}{x}^{{{2}+{2}}}-{20}{x}^{{{2}+{1}}}+{4}{x}^{{2}}\)
\(\displaystyle={12}{x}^{{5}}+{8}{x}^{{4}}-{20}{x}^{{3}}+{4}{x}^{{2}}\)
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