Polynomials Quiz 2

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

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

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

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

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

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

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

The degree of the polynomial $\sqrt2 X^2-3X+1$ = ……………

If one zero of the polynomial f (x) = $5x^2+13x+k$ 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 …………