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Answer:
<em>P(3) = 0</em>
Step-by-step explanation:
<u>Factor Theorem is a consequence of Remainder Theorem. </u>
Remainder Theorem states that if polynomial f(x) is divided by a binomial (x - a) then the remainder is f(a).
Factor Theorem states that if f(a) = 0, then the binomial (x - a) is a factor of f(x).
We have the polynomial
To prove that x-3 is a factor of P, we calculate P(3):
Thus, x-3 is a factor of P(x)