Polynomials

The expression $y+z+100$ is a:

The numerical coefficient of y in the expression $2x+3y+7z$is:

Find the value of $k$, if $x-1$ is a factor of $4x^3+3x^2-4x+k$.

The product of $a^2, 2a^2, 5a^{10}$ Is:

 If $x+y+z=0$ then the value of  $\begin{array}{rcl}& & \frac{1}{x^2+y^2-z^2}\end{array}\begin{array}{rcl}& & +\end{array}\begin{array}{rcl}& & \frac{1}{x^2+z^2-y^2}\end{array}\begin{array}{rcl}& & +\end{array}\begin{array}{rcl}& & \frac{1}{y^2+z^2-x^2}\end{array}$  is -

The value of $3x(4x-5)+3$ for $x=3$.

The expansion of $a^3$ is ___________ .

If $p$ and $q$ are the roots of the polynomial $p\left(x\right)=a{x}^2+bx+c$,the polynomial $g\left(x\right)$ whose roots are $\frac{1}{p}$ and $\frac{1}{q}$ will be?

The addition of $ab-bc, bc-ca, ca-ab$ is:

If $x+\frac{1}{x}=-2$ then the value of $x^{2n+1}+\frac{1}{x^{2n+1}}$ is -

Where, $n$ is a positive number.

If $x, y, z$ are all real numbers and $x^2+y^2+z^2=2\left(x-y-z\right)-3$, then the value of $2x-3y+4z$ is:

Multiplication of '$ab$' and '$a-b$' is:

Like terms in the expression $7x, 5x^2, 7y, -5yx, -9x^2$are:

The product of two number is$2268$ and their quotient is$\frac{9}{7}$.Then the sum of the number is.

What is the possible expression for the third dimension of the cuboid $12k{y}^2+8ky-20k$, if the two of its dimensions are $(y-1)$ and $4k$?

The product of two positive numbers is$2500$ if one number is $4$ times the other, the sum of the two numbers is-

Number of terms in the expression $xyz+1$ Is:

The HCF of $(x^3+3x^2-x-3)$ and $(x^3+4x^2+x-6)$ is-

If $m$ and $n$ are positive integers and$(m – n)$ is an even number, then$(m^2 – n^2)$ will be always divisible by ?

${\mathrm{x}}^2-5\mathrm{x}-6=$_____.