Embibe Experts Solutions for Chapter: Polynomials, Exercise 1: Goa Board-2018

If $\alpha$ and $\beta$ are the zeroes of the polynomial $x^2+6x+5$ then ${\left(\alpha +\beta \right)}^2=$

If $\sqrt{3}$ and $-\sqrt{3}$ are the zeroes of the polynomial $2x^4-3x^3-5x^2+9x-3$. Find the other two zeroes of the polynomial.

If the sum and the product of the zeroes of a quadratic polynomial in $x$ are $2$ and$-6$ then the quadratic polynomial is 

Find the other two zeroes of the polynomial $3x^4-23x^3+62x^2-68x+24$, if two of its zeroes are $2$ and $3$.