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current objective simplify a rational expression with opposite factors …

Question

current objective
simplify a rational expression with opposite factors

question

divide: \\(\frac{6x^2+5x-6}{-3x^2-10x+8}\\)

provide your answer below:

Explanation:

Factor the numerator trinomial

Using the Factoring Trinomials knowledge point

$$ LATEXBLOCK0 $$

Factor the denominator trinomial

Using the Factoring Trinomials knowledge point

$$ LATEXBLOCK1 $$

Simplify the rational expression

Using the Simplifying Rational Expressions knowledge point

$$ LATEXBLOCK2 $$

Answer:

\(-\frac{2x + 3}{x + 4}\)