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 .
Find the remainder using remainder theorem, when 2 x^(2) + 3x^(2) + x + 1 is divided by x + (1)/(2)
Find the remainder when 2x ^(2) - 3x + 5 is divided 2x-3. Does it exactly divided the polynomial ? State reason.
On dividing x^(3)-3x^(2)+x+2 by a polynomial g(x), the quotient and remainder were x-2 and -2x+4, respectively. Find g(x).
Divide p(x) by g(x) and find the quotient and remainder : p(x)=x^(4)-3x^(2)+4x+5, g(x)=x^(2)-x+1
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.