QUESTION BANK FOR POLYNOMIALS
6) If 1 is one of the zeroes of the cubic polynomial $2x^3-9x^2+10x-3$. Find the other zeroes of the polynomial and verify the relation between zeroes and coeffecient of the polynomials. 7) If ${1/2}$ , $3$ and $-2$ are the zeroes of a cubic polynomial, find the polynomial. 8) The zeroes of the cubic polynomial are $3,-1,-1/3$. Find the polynomial. 9)Find all the zeroes of the polynomials $x^4+6x^3+5x^2-12x-14$ , if two of its zeroes are (√2+3) and (√2 -3). 10) If $x=3$ is one root of the quadratic equations $x^2-2kx-6=0$, then find $k$.