# What is the leading term, leading coefficient, and degree of this polynomial -a + 8a^3 - 4a^7 + 4a^2?

Jun 30, 2018

See below:

#### Explanation:

Let's rearrange this polynomial to standard form with descending degree. We now have

$- 4 {a}^{7} + 8 {a}^{3} + 4 {a}^{2} - a$

The leading term is simply the first term. We see that this is $- 4 {a}^{7}$.

The leading coefficient is the number in front of the variable with the highest degree. We see that this is $- 4$.

The degree of a polynomial is simply the sum of the exponents on all terms.

Recall that $a = {a}^{1}$. Summing up the degrees, we get

$7 + 3 + 2 + 1 = 13$

This is a $13$th degree polynomial.

Hope this helps!