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find the excluded values in this rational expression. \\\\frac{3x^2 - x…

Question

find the excluded values in this rational expression.

\\\frac{3x^2 - x - 4}{2x^2 + 9x + 7}\\

\\x \
eq -\frac{?}{ }, \\

enter the smallest excluded value first.

Explanation:

Set the denominator to zero

Using the Excluded Values knowledge point

$$ 2x^2 + 9x + 7 = 0 $$

Factor the quadratic expression

Using the Factoring Trinomials knowledge point

$$ LATEXBLOCK0 $$

Solve for the excluded values

Using the Excluded Values knowledge point

$$ LATEXBLOCK1 $$

Order the values from smallest to largest

Using the Excluded Values knowledge point

$$ LATEXBLOCK2 $$

Answer:

Find the excluded values in this rational expression.

$$\frac{3x^2 - x - 4}{2x^2 + 9x + 7}$$

\(x
eq -\) <blank>\(\frac{7}{2}\)</blank> , <blank>\(-1\)</blank>
Enter the smallest excluded value first.