Question

Prove that
1. f(x) is a polynomial of degree n(n>or= 1) and a is any real number. If f(x) is divided by (x-a), then the remainder will be f(a).
2. If f(x) is any polynomial with degree n(n>or= 1) and a is any real number, then
(i) (x-a) will be a factor of f(x), if f(a) = 0, and
(ii) f(a)=0 if (x-a) is a factor of f(x).​

Answer 1

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