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

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Answer 1 · 2018-07-03T21:53:48

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

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

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 $1$ .

Answer 2 · 2018-07-04T04:24:08

Degree: $3$

Leading Coefficient: $1$

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!

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