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

$3x^2+5x$

The quadratic equation of the problem is already ordered (that is, all the terms on one side and 0 on the other side), so we approach answering the question posed:

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

**Let's remember** the definitions of the coefficients when solving a quadratic equation and 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 - that is, the coefficient of the **term raised to the power of zero** -$x^0$(And this is because any number other than zero raised to the power of zero equals 1:

$x^0=1$)

**We examine **the equation of the 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.

__The correct answer is option c.__