Question

Describe third degree polynomial

Answer 1

Polynomial: Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates.

Degree of polynomials: A polynomial’s degree is the highest or the greatest power of a variable in a polynomial equation. The degree indicates the highest exponential power in the polynomial.

Third-degree polynomial is of the form $\mathrm{p}\left(\mathrm{x}\right)={\mathrm{ax}}^3+{\mathrm{bx}}^2+\mathrm{cx}+\mathrm{d}$ where '$a$' is not equal to zero.It is also called cubic polynomial as it has a degree $3$

An example of cubic polynomials is, ${\mathrm{x}}^3+2{\mathrm{x}}^2+3\mathrm{x}+1,4{\mathrm{x}}^3+6,\mathrm{and}\mathrm{so}\mathrm{on}$.

Thus, The third-degree polynomial is a polynomial in which the degree of the highest term is $3$.