Degree and Leading Coefficient/Term
How to use this calculator?
Variable  Input a singleletter that is the polynomial variable. Examples : polynomial = 4x+1 , then input variable = 'x' polynomial = 9t + 5 , then input variable ='t' 

Polynomial  Are accepted :

Examples  Polynomial = x^24x+1 (variable = 'x') Polynomial = (x^21)(x5)3 (variable = 'x') Polynomial = x^34/3*x^2+1 (variable = 'x') Polynomial = 0.23*t^21/5*t+1/2 (variable = 't') 
What are the leading term, leading coefficient and degree of a polynomial ?
 The leading term is the polynomial term with the highest degree.
 The degree of a polynomial is the degree of its leading term.
 The leading coefficient is the coefficient of the leading term.
So we can write,
`\text{Leading term} = \text{Leading coefficient}^\text{Degree}`
Usually, the leading term of the polynomial is written first. So, the general expression of a polynomial is,
`P(x) = a_n*x^n + a_(n1)*x^(n1)+ ... + a_2*x^2 + a_1*x + a_0`
The leading term is `a_n*x^n` which is the term with the highest exponent in the polynomial.
The degree of the polynomial is the degree of the leading term (`a_n*x^n`) which is n.
The leading coefficient is the coefficient of the leading term. So, it is equal to `a_n`.
Examples
P(x) = `2x^3+x+4`
Leading term = `2x^3`
Leading coefficient = 2
Degree = 3
P(x) = `x^5+x^4+2x^31`
Leading term = `x^5`
Leading coefficient = 1
Degree = 5
P(x) = `x^21`
Leading term = `x^2`
Leading coefficient = 1
Degree = 2
See also
Polynomial calculators
Math Calculators