Use the Remainder Theorem to find the remainder when P(x)=x4+9x3+2x2−x+5%0D%0A%0D%0A(%0D%0A%0D%0A)%0D%0A=%0D%0A%0D%0A4%0D%0A+%0D%0A9%0D%0A%0D%0A3%0D%0A+%0D%0A2%0D%0A%0D%0A2%0D%0A−%0D%0A%0D%0A+%0D%0A5%0D%0A is divided by x−2
To find the remainder when P(x) is divided by x-2, we can use the Remainder Theorem.
According to the Remainder Theorem, if P(x) is divided by x-a, the remainder is equal to P(a).
Therefore, to find the remainder when P(x) is divided by x-2, we need to substitute x=2 into P(x).
Let's calculate P(2):
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.