if p(x) =x3-x2+2 and g (x) = x-1, find the degree of p(x) + g(x) and p(x) -g(x)
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The factor theorem states that a polynomial p(x) has a factor (x−k) if and only if p(k)=0 (i.e. k is a root).
So, the factor of p(x) is x−
2
3
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