What we call equation having power $4$?

Write the polynomial $p\left(x\right)=x^2-4$ as the product of two first degree polynomials.

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

Give an example of a trinomial of degree $4$.

Is the following expression a polynomial?

${\mathrm{x}}^5-2{\mathrm{x}}^3+\mathrm{x}+7$

In case of a polynomial, write its degree.

If $x-2$ and $x-\frac{1}{2}$ both are the factors of the polynomial $n{x}^2-5x+m$, then show that $m=n=2$.

Write the appropriate polynomials in the boxes.

If $p\left(y\right)=4+3y-y^2+5y^3$, find $p\left(0\right)$.

If $p\left(x\right)=5-4x+2x^{\mathit{2}}$, find $p\left(0\right)$.

State whether the given algebraic expression is a polynomial? Justify.

$y+\frac{1}{y}$