f(x) = 5x^2 + 7x-3
The Degree of a polynomial is the highest degree of the polynomial's monomials.
In this case:
Degree: 2
The leading coefficient is the number next to the highest degree variable:
Leading coefficient = 5
End behavior: Degree is even and the leading coefficient is positive, so en behavior is:
f(x) ⇒ ∞ as x ⇒ -∞
f(x)= ∞ as x ⇒ ∞