Any polynomial p(x) of degree n ≥ 1 may be expressed as?
- p(x) = (x - r)q(x)k
- p(x) = (x - r)q(x) + k
- p(x) = (x - r)q(x) - k
- p(x) = (x + r)q(x) + k
- None of these
Explanation
By the polynomial division algorithm, any polynomial can be expressed as:
p(x)=(x−r)q(x)+k
where is the quotient and is the remainder.
If is a root of , then , making completely factored.
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