J P Mohindru and Bharat Mohindru Solutions for Chapter: Polynomials, Exercise 4: FOR ASSESSMENT

What are the values of $k$ when $k{x}^2+x+k$, has equal zeroes?

If $\left(x+a\right)$ is a factor of $\left(2x^2+2ax+5x+10\right)$, then find $a$.

Write the family of quadratic polynomials having $1$ and $-\frac{1}{4}$ as its zeroes.

If $f\left(x\right)=x^3+x^2-ax+b$ is divisible by $x^2-x$, find the values of $a$ and $b$.

If $a-b$, $a$ and $a+b$ are zeroes of the polynomial $f\left(x\right)=2x^3-6x^2+5x-7$, write the value of $a$.

The zeroes of the polynomial  $x^2-64$ are _____.

The value of the polynomial $f\left(x\right)=4x^2-7$ at $x=2$ is _____.

If one zero of $3x^2-8x+2k+1$ is seven times the other, then $k$ is _____.