Use the Remainder Theorem to find the remainder when
P(x) = x^4 + 5x^3 - 13x² + 15x - 4 is divided by x+4
explain your answer
To find the remainder when dividing polynomial P(x) by x+4 using the Remainder Theorem, we substitute -4 for x in the polynomial.
So, evaluate P(-4):
P(-4) = (-4)^4 + 5(-4)^3 - 13(-4)^2 + 15(-4) - 4
= 256 + 5(-64) - 13(16) - 60 - 4
= 256 - 320 - 208 - 60 - 4
= -336
The remainder when P(x) is divided by x+4 is -336.