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Consider the polynomials

f(x)=1-12x+3x^2-4x^3+8x^4

and 

g(x)=3-2x-6x^3+9x^4.

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

 Sep 6, 2021
 #1
avatar+23246 
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Let  c  =  -8/9,  then the  x4  term will disappear.

 Sep 6, 2021

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