R. D. Sharma Solutions for Chapter: Polynomials, Exercise 5: MULTIPLE CHOICE QUESTIONS (MCQs)

If the product of zeros of the polynomial $f\left(x\right)=a{x}^3-6x^2+11x-6$ is $4$, then $a=$

If zeros of the polynomial $f\left(x\right)=x^3-3p{x}^2+qx-r$ are in $\mathrm{A}.\mathrm{P}.,$ then

If $\alpha ,\beta ,\gamma$ are the zeros of the polynomial $f\left(x\right)=a{x}^3+b{x}^2+cx+d,$ then ${\alpha }^2+{\beta }^2+{\gamma }^2=$

The zeroes of the quadratic polynomial $x^2+ax+a,$ where $a\ne 0$

If one of the zeros of the cubic polynomial $x^3+a{x}^2+c$ is $-1$, then the product of the other two zeros is

Given that two of the zeroes of the cubic polynomial $a{x}^3+b{x}^2+cx+d$ are $0$, the third zero is

If one zero of the quadratic polynomial ${\mathrm{x}}^2+3\mathrm{x}+\mathrm{k}$ is $2$, then the value of $\mathrm{k}$ is

If the zeroes of the quadratic polynomial $a{x}^2+bx+c, c\ne 0$ are equal, then