# How do you find the degree and leading coefficient of the polynomial a^3+6a+14?

Jul 3, 2018

degree $= 3$; leading coefficient $= 1$

#### Explanation:

Given: ${a}^{3} + 6 a + 14$

The degree of a polynomial is the largest exponent of the monomials.

The largest exponent is $3$, so the degree $= 3$

The leading coefficient is the constant that is in front of the largest exponent monomial. If there is no constant, it is $1$.

Jul 4, 2018

Degree: $3$

Leading Coefficient: $1$

#### Explanation:

The degree of a polynomial is the highest exponent of all of the terms. We see that this is $3$.

The leading coefficient is just the number multiplying the term with the highest degree.

Right now, we only see ${a}^{3}$, but there is implicitly a $1$ in front of the monomial. This is our leading coefficient.

Hope this helps!