Question

divide 3x^4+5(2x+x^2-2x^3)+x-12 by 8-10x+3x^2and verify the divide algorithm​

Answer 1

Answer:

Step-by-step explanation:

Let f(x) = -x3 + 3x2 - 3x + 5 and g(x) = -x2 + x - 1  We have: Quotient, q(x) = x - 2 and remainder, r(x) = 3 Now, Quotient Divisor + Remainder = (x - 2)(-x2 + x - 1) + 3 = -x3 + x2 - x + 2x2 - 2x + 2 + 3 = -x3 + 3x2 - 3x + 5 = Dividend Hence, the division algorithm is verified.