in algebra
Use the Remainder Theorem to find the remainder when (x) = x^4 + 5x^3 - 13x² + 15x - 4 is divided by x+4
To use the Remainder Theorem, substitute -4 into the polynomial (x^4 + 5x^3 - 13x^2 + 15x - 4) and evaluate it.
Therefore, (-4)^4 + 5(-4)^3 - 13(-4)^2 + 15(-4) - 4 = 256 - 320 + 208 - 60 - 4 = 80.
Hence, the remainder when the polynomial is divided by x+4 is 80.