R S Aggarwal and Veena Aggarwal Solutions for Exercise 3: Exercise 2C

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

If $3$ is a zero of the polynomial $2x^2+x+k$, find the value of$k$.

If $-4$is a zero of the polynomial $x^2–x–(2k+2)$, then find the value of $k$.

If $-2$ is a zero of the polynomial $3x^2+4x+2k$ then find the value of$k$.

Write the zeros of the polynomial $f\left(x\right)=x^2–x–6$.

If $(a-b), a$and $(a+b)$ are zeros of the polynomial $2x^3-6x^2+5x-7$, write the value of $a$.

If  $x^3+x^2-ax+b$ is divisible by $(x^2-x)$, write the value of$a$ and $b$.

The sum of the zeros and the product of zeros of a quadratic polynomial, are $\frac{-1}{2}$ and $-3$ respectively. Write the polynomial.