Basics of Polynomials

Find the sum of two polynomials: $5x^3+3x^{2}y+4xy-6y^2, 3x^2+7x^{2}y-2xy+4x{y}^2-5$

Solve $3x^2 – 6x + x^3 – 18$

Let $n$ be a positive integer. The number of common factors of $n^2+3n+1$ and $n^2+4n+3$ is equal to

The value of the polynomial $f\left(x\right)=x^3-x^2+x-1$ when $x=1$ is

If $x=-2$ is one root of $x^3-x^2-17x=22,$ then find the other roots of equation.

$a{x}^n+bx+c$ is a quadratic polynomial if $n=?$

Which is the possible polynomial for the graph given below:

Graph of the polynomial given below can be

Seeing the graph given below, write its nature 

Examine the graph of the polynomial given below, write the nature of the polynomial. (Linear/Quadratic/Cubic).

Which of the following is a quadratic polynomial?

$\frac{1}{x}-1 \left(x\ne 0\right)$ is _____.

Find the value of $k$, if $x=3$ is a root of the equation $k{x}^2-10x+3=0$.

Write the degree of the polynomial $f\left(x\right)=x^2-3x^3+2$.

Write the degree of the polynomial $p\left(x\right)=2x^2-x^3+5$

The number of polynomials $p\left(x\right)$ with integer coefficients such that curve $y=p\left(x\right)$ passes through ($2,2$) and ($4,5$) is

If $P\left(x\right)=x^4+1$, then find $P\left(2\right)-P\left(-2\right)$.

Zeroes of the quadratic polynomial $x^2-2x-8$ are :

The degree of a linear polynomial is

Factorise $a^4-11a^2+10$.