Question

find the excluded values in this rational expression.

\\\frac{x^2 + 6x - 4}{2x^2 + x - 15}\\

\\(x \
eq ?, \frac{\quad}{\quad}\\)

enter the smallest excluded value first.

Explanation:

Set the denominator to zero

Using the Excluded Values knowledge point

$$ 2x^2 + x - 15 = 0 $$

Factor the quadratic expression

Using the Factoring Trinomials knowledge point

$$ (2x - 5)(x + 3) = 0 $$

Solve for the excluded values

Using the Excluded Values knowledge point

$$
LATEXBLOCK0
$$

Order the values from smallest to largest

Using the Excluded Values knowledge point

$$ -3 < \frac{5}{2} $$

Answer:

Find the excluded values in this rational expression.

$$\frac{x^2 + 6x - 4}{2x^2 + x - 15}$$

\(x
eq\) <blank>\(-3\)</blank>, <blank>\(\frac{5}{2}\)</blank>
Enter the smallest excluded value first.