CHAPTER-2 POLYNOMIALS (SET-1)

Questions in this test

1. If $\alpha \ and\ \beta$ are the zeros of the quadratic polynomial $f\left(t\right)=t^2-4t+3,$ find the value of $\alpha ^4\beta ^3+\alpha ^3\beta ^4$
2. If one zero of the quadratic polynomial $f(x)=4x^2-8kx-9$ is negative of one other, find the value of k.
3. If the squared difference of the zero of the quadratic polynomial $f(x)=x^2+px+45$ is equal to 144, find the value of P.
4. If $\alpha$ and $\beta$ are the zeros of quadratic polynomial $f(x)=ax^2+bx+c,$ then evaluates $\frac{1}{a\alpha +b}+\frac{1}{a\beta +b}$
5. Find the zeros of the quadratic polynomial $x^2+7x+12$
6. If $\alpha$ and $\beta$ are the zeros of quadratic polynomial $f(x)=kx^2+4x+4$ such that $\alpha ^2+\beta ^2=24$ find the value of $x$
7. The exponent of the highest degree 1cm in a polynomial is called _______
8. If the squared difference of the zeros of quadratic polynomial $f(x)=x^2+px+45$ is equal to 144, find the value of P
9. If two zeros of polynomial $f(x)=x^3-4x^2-3x+12$ are $\sqrt{3}$ and $-\sqrt{3}$, then find its third zero
10. Divident = ?