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Consider the polynomials f(x)=1-12x+3x^2-4x^3+6x^4 and g(x)=3-2x-6x^3+9x^4.

 

Find c such that the polynomial f(x) + cg(x) has degree 3.

 Jun 3, 2021
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You want the x^4 terms to cancel out, so you have -9c=6 -> c = -6/9 = -2/3

 

-2/3

 Jun 3, 2021

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