Question

find the excluded values in this rational expression.

\\\frac{7x^2 + x - 1}{x^2 + 9x + 18}\\

\\(x \
eq ?, \\)

enter the smallest excluded value first.

Explanation:

Identify the condition for excluded values

Using the Simplifying Rational Expressions knowledge point

$$ x^2 + 9x + 18 = 0 $$

Factor the quadratic denominator

Using the Factoring Trinomials knowledge point

$$ (x + 6)(x + 3) = 0 $$

Solve for the excluded values of x

Using the Simplifying Rational Expressions knowledge point

$$
LATEXBLOCK0
$$

Order the excluded values

Using the Simplifying Rational Expressions knowledge point

$$ -6 < -3 $$

Answer:

Find the excluded values in this rational expression.

$$\frac{7x^2 + x - 1}{x^2 + 9x + 18}$$

\(x
eq\) <blank>-6</blank>, <blank>-3</blank>

Enter the smallest excluded value first.