Use the Remainder Theorem to find the remainder when P(x) = x^4 – 9x^3 – 5x^2 – 3x + 4
is divided by x + 3
correct answers only
To find the remainder when P(x) is divided by x + 3, we use the Remainder Theorem, which states that the remainder of dividing a polynomial P(x) by x - a is equal to P(a).
Therefore, to find the remainder, we substitute -3 into P(x):
P(-3) = (-3)^4 - 9(-3)^3 - 5(-3)^2 - 3(-3) + 4
= 81 + 243 - 45 + 9 + 4
= 292
So, the remainder is 292.