Polynomials Quiz 4

If $\alpha,\beta$ are the two zeroes of the polynomial f(x) = $x^2-p(x+1)-c,$ then $(\alpha+1)(\beta+1)$ = ……………

If $\alpha$ and $\beta$ are the roots of $ax^2+bx+c=0$, then $\alpha^3+\beta^3$ =

The equation whose roots are obtained by adding 1 to those of $2x^2$+ 3x + 5 = 0 is

If x+1, x+2 are two factors of $x^3+3x^2-2\alpha x+\beta,$ then value of $\alpha+\beta$ is …………

If $\alpha,\beta$ are zeroes of the polynomial $ax^2+bx+c,$ then the value of $\frac{1}{\alpha}+\frac{1}{\beta}$ is…………

The value of ‘K’ for which $2x^4+3x^3+2Kx^2+3x+6$ is exactly divisible by x + 2?

The degree of the polynomial $5x^7-6x^5+7x-6$ is

The zero of the linear polynomial px + q is …………

The quadratic polynomial, whose zeroes are 2 and 3, is

Which of the following is a polynomial with only one zero ?