Telangana Board Solutions for Chapter: Polynomials, Exercise 14: Exercise

Find the quadratic polynomial whose sum of zeroes is $1$ and the product of the zeroes is $1$.

Find the quadratic polynomial whose sum of zeroes is $-\frac{1}{4}$ and the product of the zeroes is $\frac{1}{4}$.

Find the quadratic polynomial whose sum of zeroes is $4$ and the product of the zeroes is $1$.

Find the quadratic polynomial, for the zeroes $\alpha$, $\beta$ given in below case.

$2, -1$

Find the quadratic polynomial, for the zeroes $\alpha$, $\beta$ given in below case.

$\sqrt{3}, -\sqrt{3}$

Find the quadratic polynomial, for the zeroes $\alpha$, $\beta$ given in below case.

$\frac{1}{4}, -1$

Find the quadratic polynomial, for the zeroes $\alpha$, $\beta$ given in below case.

$\frac{1}{2}, \frac{3}{2}$

Verify that $1, -1$ and $+3$ are the zeroes of the cubic polynomial $x^3-3x^2-x+3$ and check the relationship between zeroes and the coefficients.