5. Types of polynomials using degree:
Linear polynomial:
 
A polynomial with degree \(\text{one}\) is called linear polynomial.
 
Example:
 
\(3x+5\)
 
Quadratic polynomial:
 
A polynomial with degree \(\text{two}\) is called quadratic polynomial.
 
Example:
 
\(3x^2 + 2x +5\)
 
Cubic polynomial:
 
A polynomial with degree \(\text{three}\) is called cubic polynomial.
 
Example:
 
\(3x^3 + 5x^2 + 4x + 9\)
6. Types of polynomials using number of terms:
Monomials:
 
A polynomial having only \(\text{one}\) term is called monomials.
 
Example:
 
\(3x\), \(5a\), \(x^{100}\)
 
Binomials:
 
A polynomials having two terms is called binomials.
 
Example:
 
\(2x + 4\), \(x^2 - 1\)
 
Trinomials:
 
A polynomials having \(\text{three}\) terms is called trinomials.
 
Example:
 
\(2x^2 + 3x + 4\), \(x^3 + 5x^2  + 9x\)
7. Linear polynomial
A polynomial is considered to be a linear polynomial if it has its degree as \(1\).
 
Example:
 
\(x+1\), \(4x+2\)