Polynomial Equations

A polynomial equation is one that can be written in the form of:
axⁿ + bx^n-1 + . . . + ax + m = 0

a, b, a and m are constants.
the biggest exponent of x showing in a non-zero term of a polynomial the degree of that certain polynomial.

 6x + 1= 0 has degree 1, since the largest power of x that occurs is x = x¹. Degree 1 equations are called linear equations.

x² - x - 1 = 0 has degree 2, since the largest power of x that occurs is x². Degree 2 equations are also called quadratic equations, or just quadratics.

 x³ = 2x² + 1 is a degree 3 polynomial (or cubic) in disguise. It can be rewritten as x³ - 2x² - 1 = 0, which is in the standard form for a degree 3 equation.

 x⁴ - x = 0 has degree 4. It is called a quartic.

The polynomials name is depend on their degree of exponents. There many names of in the polynomials. The names are following below:

1: Degree 0- constant.

2: Degree 1- linear.

3: Degree 2 – quadratic.

4: Degree 3 – cubic.

5: Degree 4 – quadratic.

6: Degree 5- quintic.
7: Degree 6 –sextic.

8: Degree 7 - degree with number terms.