M L Aggarwal Solutions for Chapter: Polynomials, Exercise 1: Exercise 2.1

For what value of $k,$ as $-4$ is a zero of the polynomial, $x^2-x-(2k+2)?$

If $1$ is a zero of the polynomial $p\left(x\right)=a{x}^2-3(a-1)x-1$, then the value of $a$ is _____?

If one of the zeroes of quadratic polynomial is $5x^2-kx+3(k-1)$ is $-2$, then find the value of $k$ is _____.

If one of the zeroes of the polynomial $x^3-2x^2-3kx-6$ is $-1$, then the value of $k$ is _____?

If $(x+1)$ is a factor of $x^2-3ax+3a-7$, then the value of $a$ is _____?

If $(x-3)$ is a factor of $x^3-2x^2+5kx+6$, then what is the value of $k$ is _____?

Show that the polynomial given below have no real zeroes.

$x^2-2x+5$

Show that the polynomial given below have no real zeroes.

$x^2+6x+10$