!The coefficient that is connected to the variable with the largest exponent is called the leading coefficient. In the following example, {eq}g (x)=x-3x^4-4x^2 {/eq}, the largest exponent is
The leading term of a polynomial is just the term with the highest degree, and we see this is 3x5. The leading coefficient is just the number multiplying the highest degree term.
To find the leading coefficient here, we can either order it correctly as 4 x 5 - 3 x 2 and find the leading coefficient that way. Or we can simply look for the term with the highest