The given polynomial is
x^2 - 9x^3 - 5x^2 - 4x + 5
By simplifying it, it becomes
- 9x^3 + x^2 - 5x^2 - 4x + 5
- 9x^3 - 4x^2 - 4x + 5
We want to divide it by x + 3. To use the remainder theorem, we would substitute x = - 3 into the polynomial to find the remainder, r. We have
r = p(- 3) = -9(-3)^3 - 4(-3)^2 - 4(-3) + 5
243 - 36 + 12 + 5
r = 224
Thus, the remainder when P(x) = x^2-9x^3-5x^2-4x+5 is divided by x + 3 is 224
P(-3) = 224
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