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# Consider the polynomials and Find c such that the polynomial ​ has degree 3.

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Consider the polynomials $$f(x)=1-12x+3x^2-4x^3+5x^4$$ and $$g(x)=3-2x-6x^3+9x^4.$$ Find c such that the polynomial$$f(x)+cg(x)$$ has degree 3.

Nov 21, 2019

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Consider the polynomials $$f(x)=1-12x+3x^2-4x^3+5x^4$$ and $$g(x)=3-2x-6x^3+9x^4$$.
Find $$c$$ such that the polynomial $$f(x)+cg(x)$$ has degree 3.

$$\begin{array}{|rcll|} \hline -5x^4 &=& c*9x^4 \\\\ c &=& -\dfrac{5x^4}{9x^4} \\\\ \mathbf{c} &=& \mathbf{-\dfrac{5 }{9}} \\ \hline \end{array}$$

Nov 21, 2019