CHAPTER-2 POLYNOMIALS (SET-3)

Questions in this test

1. If the polynomial $f(x)=ax^3+bx-c$ is the divisible by the divisible by the polynomial $g(x)=x^2+bx+c$ then ab= ?
2. If the polynomial $f(x)=ax^3+bx-c$ is the divisible by the polynomial $g(x)=x^2+bx+c$ then $c=?$
3. If one root of polynomial $f(x)=5x^2+13x+k$ is reciprocal of order, then the value of k is
4. If $x+2$ is factor of $x^2+ax+2b$ and $a+b=4$ then
5. A real number is _______ of a polynomial $f(x)$, if $f(\alpha )=0$
6. The product of zeros of $x^3+4x^2+x-6$
7. If two zeros of $x^3+x^2-5x-5$ are $\sqrt{5}$ and $-\sqrt{5}$, the third zero is
8. If $\alpha ,\beta $ are the zeros of polynomial $f(x)=x^2-p(x+1)-c,$ then $\left(\alpha +1\right)\left(\beta +1\right)=$
9. If $\alpha ,\beta ,\gamma $ are the zeros of polynomial $f(x)=ax^3+bx^2+cx+d,$ then $\frac{1}{\alpha }+\frac{1}{\beta }+\frac{1}{\gamma }=$
10. If $\alpha ,\beta $ are zeros of polynomial $f(x)=ax^2+bx+c,$ then $\frac{1}{\alpha ^2}+\frac{1}{\beta ^2}=$