The sum of the polynomials `p(x) = x^(3) - x^(2) - 2, q(x) = x^(2) - 3x + 1`

For which values of 'a' and 'b' are the zeroes of q(x) = x^(3) + 2x^(2) + a also the zeroes of the polynomial p(x) = x^(5) -x^(4) - 4x^(3) + 3x^(2) +3x+ b ? Which zeroes of p(x) are not the zeroes of q(x) ?

Find the product of given polynomials p(x) = 3x^(3) +2x - x^(2) + 8 and q(x) = 7x + 2

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and reminder in each of the following. (i) p(x) = x^(3) - 3x^(2) + 5x - 3, g(x) = x^(2) - 2

Find the value of the polynomial p(x)=x^(3)-2x^(2)-2x-3 at x=3 .

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)

For which values of a and b , the zeroes of q(x) = x^(3)+2x^(2)+a are also the zeroes of the polynomial p(x) = x^(5)-x^(4)-4x^(3)+3x^(2)+3x +b ? Which zeores of p(x) are not the zeroes of q(x) ?

For which values of a and b , the zeroes of q(x) = x^(3)+2x^(2)+a are also the zeroes of the polynomial p(x) = x^(5)-x^(4)-4x^(3)+3x^(2)+3x +b ? Which zeores of p(x) are not the zeroes of p(x) ?

The product of uncommon real roots of the p polynomials p(x)=x^(4)+2x^(3)-8x^(2)-6x+15 and q(x)=x^(3)+4x^(2)-x-10 is :

The LCM of two polynomials p(x) and q(x) is x^(3) - 7x + 6 . If p(x) = (x^(2) + 2x -3) and q(x) = (x^(2) + x - 6) , then the HCF is