Zero of the polynomial (3x – 1) is …………

The remainder of $3x^3-2x^2+x+23x^3-2x^2+x+2$ when divided by 3x + 1 is

If $\alpha ,\beta ,\backslash alpha,\backslash beta,$ are the roots of $5x^2+5x+6=0,5x^2+5x+6=0,$ then $(1+\alpha )(1+\beta )=(1+\backslash alpha)(1+\backslash beta)=$

If two zeroes of the polynomial $x^3-5x^2+6xx^3-5x^2+6x$ are 2 and 3, then the third zero is

If ‘4’ is one of the zeroes of p(x) = $x^2+kx-8x^2+kx-8$, then the value of k = …………

If the roots of $x^2+6x+5=0x^2+6x+5=0$ are $\alpha \backslash alpha$ and $\beta \backslash beta$ then $\alpha +\beta \backslash alpha+\backslash beta$ = …………

If $\alpha ,\beta \backslash alpha,\; \backslash beta$ are the zeroes of  $x^2+x+1,x^2+x+1,$ then $\frac{1}{\alpha }+\frac{1}{\beta }=\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\backslash frac\{1\}\{\backslash alpha\}+\backslash frac\{1\}\{\backslash beta\}=...........$

The degree of the polynomial $\sqrt{2}{X}^2-3X+1\backslash sqrt2\; X^2-3X+1$ = ……………

If one zero of the polynomial f (x) = $5x^2+13x+k5x^2+13x+k$ is reciprocal of the , other, then the value of k = ……………

A quadratic polynomial, the sum of whose zeroes is zero and one zero is 4, is …………