Question

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P(x) is a polynomial.
P(x) divided by (x – 8) has a remainder of 5.
P(x) divided by (x – 5) has a remainder of 3.
P(x) divided by (x + 5) has a remainder of -2.
P(x) divided by (x + 8) has a remainder of 0.
Find the following values of P(x).
P(5) =
P(-8) =

Answer 1

x-5 = 0 has a remainder of 3

x = 5

therefore p(5) = 3

x+8 = 0 has a remainder of 0

x = -8

therefore p(-8) = 0