Respuesta :
According to the question, the given rational expression can be simplified which is shown below:
Rational expression = [tex](\frac{x^{2}+8x+7}{x^{2} -x-12)} /(\frac{x^{2} +2x-8}{x^{2} +13x+24} )[/tex]
To simplify the given rational expression which is also an polynomial expression by the method of factors rule. Performing factors on numerator as well as on denominator. And later divide them with each other.
Rational expression = [tex](\frac{(x+7)(x+1)}{(x-4)(x+3)}) /(\frac{(x+4)(x-2)}{x^{2} +13x+24} )[/tex]
The factors of the denominator term is not possible. Therefore, the given expression cannot be simplified.
What is polynomial expression?
Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.
To learn more about the polynomial expression from the given link:
brainly.com/question/13769924
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