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4. Determine if x- 3 is a factor of P(x) where P(x) = x - 3x - * +3.
5. Determine if x - 1 is a factor of P(x) where P(x) = x^5 - 4.
6. Find k so that x-2 is a factor of P(x) = x - ko? - 4x + 20
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Answer:

If P(x) is a factor of P(x) , then f(3)=0 By remainder Theorem)

Thus, f(3)=0

=>3

3

+3×3

2

+3×3+p=0

=>27+27+9+p=0

=>p=−63

Ans. - 63

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