using the remainder theorem, find the remainder when p (x) is divided by g(x), when p(x) = 3x⁴ - 6x²+ 2, g(x) = x-5
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Answer:
The remainder = 1727
Step-by-step explanation:
p(x) = 3x⁴ - 6x²+ 2, g(x) = x-5
The zero of g(x):
g(x) = 0
x - 5 = 0
x = 5
Putting x = 5 in p(x),
p(5) = 3(5)⁴ - 6(5)²+ 2 = 1875 - 150 + 2 = 1727
The remainder = 1727
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