" fin "x^(2)+3x+1,3x^(4)+5x^(3)-7x^(2)+2x+2

Check Whether the first term is a factor of second term or not x^(2)+3x+1,3x^(4)+5x^(3)-7x^(2)+2x+2

Check whether the first polynomial is factor of Second polynomial by dividing: t^2-3,2t^(4)+3t^(3)-2t^(2)-9t-12 (ii) x^(2)+3x+1,3x^(4)+5x^(3)-7x^(2)+2x+2 (iii) x^(3)-3x+1,x^(5)-4x^(3)+x^(2)+3x+1

Check whether the first polynomial is a factor of the second polynomial by dividing : x^(2)+3x+1, 3x^(4)+5x^(3)-7x^(2)+2x+2

The remainder when 2x^(5) - 3x^(4) + 5x^(3) - 7x^(2) + 3x - 4 is divided by x - 2 is

Find the quotient when p(x) = 3x^(4)+5x^(3) - 7x^(2) + 2x + 2 is divided by (x^(2)+3x + 1) .

If A, B, C are the remainders of x^(3) - 3x^(2) - x + 5, 3x^(4) - x^(3) + 2x^(2) - 2x - 4, 2x^(5) - 3x^(4) + 5x^(3) - 7x^(2) + 3x - 4 when divided by x + 1, x + 2, x - 2 respectively then the ascending order of A, B ,C is

The remainder we get when we divide 2x^(5) - 3x^(4) + 5x^(3) - 3x^(2) + 7x - 9 with x^(2) - x- 3 is

If f(x) = 2x^(4) + 5x^(3) -7x^(2) - 4x + 3 then f(x -1) =

From the sum of 6x^(4) - 3x^(3) + 7x^(2) - 5x + 1 and -3x^(4) + 5x^(3) - 9x^(2) + 7x - 2 subtract 2x^(4) - 5x^(3) + 2x^(2) - 6x - 8

By applying division algorithm prove that the polynomial g(x)=x^(2)+3x+1 is a factor of the polynomial f(x)=3x^(4)+5x^(3)-7x^(2)+2x+2