# How do you find the degree and leading coefficient of the polynomial 5m^2+8m^5-2?

Jun 25, 2017

$\text{degree " 5" and } 8$

#### Explanation:

$\text{the degree of a polynomial is the value of the largest}$
$\text{exponent of the variable in the polynomial}$

$\text{the largest exponent of m here is 5}$

$\Rightarrow \text{polynomial of degree 5}$

$\text{expressing the polynomial in standard form}$

$8 {m}^{5} + 5 {m}^{2} - 2$

$\text{the leading term is } 8 {m}^{5}$

$\Rightarrow \text{the leading coefficient is 8}$