Divide 30x^(4) + 11x^(3) - 82x^(2) - 12x + 48 by ( 3x^(2) + 2x - 4 ) and verify the result by division algorithm.
If the remainder on dividing x^(3) + 2x^(2) + kx + 3 by x - 3 is 21, find the quotient and the value of k. Hence find the zeros of the polynomial x^(3) + 2x^(2) + kx - 18 .
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : i] p(x) = x^(3) - 3x^(2) + 5x - 3, g(x) = x^(2) - 2 ii] p(x) = x^(4) - 3x^(2) + 4x + 5, g(x) = x^(2) + 1 - x iii] p (x) = x^(4) - 5 x + 6 g(x) = 2 - x^(2)
If the quotient obtained on dividing ( 8 x^(4) - 2x^(2) + 6x-7) by ( 2x + 1 ) is ( 4x^(3) + px^(2) - qx + 3 ) , then find p,q and also the remainder.
Divide 2x^(2)+3x+1 by x+2 .
Find the quotient and the remainder when P (x) = 3x^(3)+ x^(2)+2x+5 is divided by g(x) = x^(2) +2x+1.