Question

solving quadratic equations by factoring

solve the following quadratic function by factoring:

\\f(x) = 2x^2 + 2x - 12\\

enter the smallest value first.

\\x = ?, \\

Explanation:

Factor out the greatest common factor

Using the Greatest Common Factor and Polynomial Factoring knowledge points

$$
LATEXBLOCK0
$$

Factor the remaining trinomial

Using the Factoring Trinomials knowledge point

$$
LATEXBLOCK1
$$

Set the function to zero to find the roots

Using the Solving Quadratic Equations knowledge point

$$
LATEXBLOCK2
$$

Solve for the values of x

Using the Solving Quadratic Equations knowledge point

$$
LATEXBLOCK3
$$

Order the solutions from smallest to largest

Using the Solving Quadratic Equations knowledge point

$$
LATEXBLOCK4
$$

Answer:

Solve the following quadratic function by factoring:
\(f(x) = 2x^2 + 2x - 12\)

Enter the smallest value first.
\(x =\) <blank>-3</blank>, <blank>2</blank>