The remainder when the polynomial function is divided by x - 12 is 10,630
Given the polynomial function. f(x) = 3x5 + 2x4 + 5
In order to get the remainder when divided by the function x - 12
Let r(x) = x- 12
If x - 12 = 0, then x = 12
Substitute x = 12 into the polynomial function to get the remainder.
Recall that P(x) =3x^5 + 2x^4 + 5
P(12) = 3(5)^5 + 2(5)^4 + 5
P(12) = 9375 + 1250 + 5
P(12) = 10,630
Hence the remainder when the polynomial function is divided by x - 12 is 10,630
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