A polynomial is a function of the form f(x)=anxn+an−1xn−1+...+a2x2+a1x+a0 .where an,an−1,...a2,a1,a0 . are contants
and n is a natural number.
The degree of a polynomial is the highest power of x in its expression.
Constant (non-zero) polynomials, linear polynomials, quadratics, cubics and quartics are polynomials of degree 0, 1, 2 , 3 and 4 respectively.
Highest power of x in p(x) is =3
Thus, the degree of p(x) is 3
p(x)=4x3−1 is a cubic polynomial.