# How do you state the degree and leading coefficient of the polynomial function F(x) = 14+ 13x^4 - 6x - 14x^3 -8x^2?

Aug 23, 2015

The leading coefficient is $13$
The degree is $4$

#### Explanation:

To obtain the leading coefficient it is necessary to rewrite the equation in canonical form, that is with the terms listed in descending order of their $x$ exponents:

$F \left(x\right) = 13 {x}^{4} - 14 {x}^{3} - 8 {x}^{2} - 6 x + 14$

The leading coefficient is the coefficient of the highest order $x$ term

The degree is the degree (exponent) of the highest order $x$ term