Consider the polynomial [f(x)=1−12x+3x2−4x3+5x4 and g(x)=3−2x−6x3+9x4. Find c such that the polynomial f(x)+cg(x) has degree 3.
Hint:
Since we know what f(x) and g(x) is, try combining them and see what x value you will get. Then, it will be easy to see what c has to be.
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