What type of polynomial is 3x+x to the second power + 4

quartic

cubic

linear

quadratic

The answer is quadratic.

A quadratic equation takes this form:

ax^2 + bx + c

The "a,""b,"and "c" represent numerical coefficients.

This is how your equation looks:

3x + x^2 + 4

Now it is standard that we organize the polynomial in descending order so it will look like this:

x^ 2 + 3x + 4

(commutative property of addition says that the arrangement will not affect the result)

It matches the quadratic polynomial form.

* You might be thinking, x to the second power has no number next to it though, well actually it does. The numerical coefficient of x to the power of two in this case is actually 1. It's just that in math, it is not necessary to put the one anymore. It is already assumed.