Question

drag and drop the following choices into the boxes given below.

general form of quadratic equation

coefficient of \\(x^2\\)

the positive solution of the equation \\(x^2 + 2x - 8 = 0\\) is \\(\underline{\quad\quad}\\).

the negative solution of the equation \\(x^2 + 2x - 8 = 0\\) is \\(\underline{\quad\quad}\\).

choices:
2
\\(ax^2 + bx + c = 0\\)
a
-4

Explanation:

Identify the general form of a quadratic equation

Using the Standard Form of Quadratic knowledge point

$$ ax^2 + bx + c = 0 $$

Identify the coefficient of \(x^2\)

Using the Quadratic Coefficients knowledge point

$$ \text{In } ax^2 + bx + c = 0, \text{ the coefficient of } x^2 \text{ is } a. $$

Solve the quadratic equation

Using the Factoring Quadratic Trinomials knowledge point

$$
LATEXBLOCK0
$$

Match the solutions to the prompts

Using the Quadratic Equations knowledge point

$$
LATEXBLOCK1
$$

Answer:

Question 1

General form of Quadratic equation: <blank>\(ax^2 + bx + c = 0\)</blank>

Question 2

Coefficient of \(x^2\): <blank>\(a\)</blank>

Question 3

The positive solution of the equation \(x^2 + 2x - 8 = 0\) is <blank>2</blank>.

Question 4

The negative solution of the equation \(x^2 + 2x - 8 = 0\) is <blank>-4</blank>.