Use the Remainder Theorem to find the remainder when P(x)=x4+9x3+2x2−x+5 is divided by x−2
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To find the remainder when P(x) is divided by x - 2 using the Remainder Theorem, we substitute 2 into P(x) and evaluate the expression.
P(x) = x^4 + 9x^3 + 2x^2 - x + 5
Substitute x = 2 into P(x):
P(2) = (2)^4 + 9(2)^3 + 2(2)^2 - (2) + 5
= 16 + 9(8) + 2(4) - 2 + 5
= 16 + 72 + 8 - 2 + 5
= 99
Therefore, the remainder when P(x) is divided by x - 2 is 99.