Algebra problem (8) If x3 + 4x - 8 = 0 then calculate x7 + 64x2 One way is to first find the root of x3 + 4x - 8 = 0 but this is not easy. However consider this: number = quotient * divisor + remainder. In case where the divisor = 0 then the remainder is the answer after division. Note: sort the terms according to the power of x. We see: x7 + 64x2 = (x4 - 4x2 + 8x + 16)(x3 + 4x - 8) + 128 Below is the division: The answer is 128.