What is the value of the coefficient $c$ in the equation below?

$3x^2+5x$

The quadratic equation of the given problem has already been arranged (that is, all the terms are on one side and 0 is on the other side) thus we can approach the question as follows:

**In the problem, the question was asked: **what is the value of the coefficient$c$in the equation?

**Let's remember** the definition of a coefficient when solving a quadratic equation as well as the formula for the roots:

The rule says that the roots of an equation of the form

$ax^2+bx+c=0$__are:__

$x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

**That is **the coefficient

$c$is the free term - and as such the coefficient of the **term is raised to the power of zero** -$x^0$(Any number other than zero raised to the power of zero equals 1:

$x^0=1$)

**Next we examine **the equation of the given problem:

$3x^2+5x=0$Note that there is no free term in the equation, that is, the numerical value of the free term is 0, in fact the equation can be written as follows:

$3x^2+5x+0=0$and therefore the value of the coefficient$c$ is 0.

__Hence the correct answer is option c.__