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!