Embibe Experts Solutions for Chapter: Polynomials, Exercise 1: CBSE-2023 (Outside Delhi)

Find all zeroes of the polynomial $\left(2x^4-9x^3+5x^2+3x-1\right)$ if two of its zeroes are $\left(2+\sqrt{3}\right)$ and $\left(2-\sqrt{3}\right)$.

If one of the zeroes of the quadratic polynomial $x^2+3x+k$ is $2$, then find the value of $k$ is

The quadratic polynomial the sum of whose zeros is $-5$ and their product is $6$, is

Divide the polynomial $f\left(x\right)=3x^2-x^3-3x+5$ by the polynomial $g\left(x\right)x-1-x^2$and verify the division algorithm

If $4$ is a zero of the cubic polynomial $x^3-3x^2-10x+24$, find its other two zeroes.

If $\alpha$ and $\beta$ are roots of quadratic equation $x^2-7x+10=0$, find the quadratic equation whose roots are ${\alpha }^2$ and ${\beta }^2$

Of one zero of the polynomial $x^2+3x+k$ is $2$, then the value of $k$ is 

The zeroes of the polynomial $3x^2+11x-4$ are