# How do you find the degree, leading term, the leading coefficient, the constant term and the end behavior of f(x)=4-x-3x^2?

The leading term is the term with $x$ raised to the highest exponent, in this case it's $- 3 {x}^{2}$. The degree is the highest power $x$ is raised to, in this case 2, the leading coefficient is the coefficient or the constant part of the leading term, $- 3$. The constant term is the term that is not multiplied by $x$, $4$, and since this is a concave down parabola (all degree two polynomials are parabolas and the leading coefficient is negative, thus concave down), you know that as $x$ goes to infinity, so does $f \left(x\right)$.