Math Solutions

[Solved] Express 2x^3-9x^2+16x-9 as a linear combination of x-1, (x-1)^2, and (x-1)^3. That is, find real numbers k_1,k_2,k_3 so that

Question: Express \(2{{x}^{3}}-9{{x}^{2}}+16x-9\) as a linear combination of \(x-1\), \({{\left( x-1 \right)}^{2}}\), and \({{\left( x-1 \right)}^{3}}\). That is, find real numbers \({{k}_{1}},{{k}_{2}},{{k}_{3}}\) so that

\[2{{x}^{3}}-9{{x}^{2}}+16x-9={{k}_{1}}\left( x-1 \right)+{{k}_{2}}{{\left( x-1 \right)}^{2}}+{{k}_{3}}{{\left( x-1 \right)}^{3}}\]

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Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document


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