Question

select the correct answer from each drop-down menu.

using the distributive property to factorize the equation \\(3x^2 + 24x = 0\\), you get choose an answer. the solution of the equation is choose an answer.

dropdown options for the first blank:
\\(x(3x + 8) = 0\\)
\\(3x(x^2 + 8) = 0\\)
\\(3x(x + 8) = 0\\)
\\(x(3x + 24) = 0\\)

Explanation:

Factor the quadratic expression using the greatest common factor

$$
LATEXBLOCK0
$$

Set the factored expression to zero

$$ 3x(x + 8) = 0 $$

Solve for the roots of the equation

$$
LATEXBLOCK1
$$

Answer:

Using the Distributive Property to factorize the equation \(3x^2 + 24x = 0\), you get <blank>\(3x(x + 8) = 0\)</blank>. The solution of the equation is <blank>\(x = 0\text{ or }x = -8\)</blank>.