Question

fill in the blank so that the resulting statement is true.

an equation that can be written in the general form \\(ax^2 + bx + c = 0\\), \\(a \
eq 0\\) is called a equation.

options:
rational
linear
quadratic

Explanation:

Identify the given equation form

Using the Quadratic Equations knowledge point

$$ ax^2 + bx + c = 0, \quad a eq 0 $$

Classify the polynomial degree

Using the Quadratic Equations knowledge point
The highest exponent of the variable \(x\) is 2, which defines a second-degree polynomial equation.

Determine the correct terminology

Using the Quadratic Equations knowledge point
A second-degree polynomial equation of this form is defined as a quadratic equation.

Answer:

An equation that can be written in the general form \(ax^2 + bx + c = 0\), \(a
eq 0\) is called a <blank>quadratic</blank> equation.