Use the Remainder Theorem to find the remainder
When P(x) = x^4+9x^3+2x^2-x+5
Is divided by x -2
*Please show all steps/work*
Thanks!
To find the remainder when a polynomial P(x) is divided by x - 2 using the Remainder Theorem, follow these steps:
Step 1: Write down the expression for the polynomial P(x) being divided. In this case, P(x) = x^4 + 9x^3 + 2x^2 - x + 5.
Step 2: Substitute the value of the divisor, x - 2, into the polynomial. Since the divisor is x - 2, substitute x = 2 into the polynomial.
P(2) = (2)^4 + 9(2)^3 + 2(2)^2 - (2) + 5
P(2) = 16 + 9(8) + 2(4) - 2 + 5
P(2) = 16 + 72 + 8 - 2 + 5
P(2) = 99
The remainder when P(x) is divided by x - 2 is 99.