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Carmella simplified the following rational expression. (2x ^ 2 + 7x + 3)/(4x + 12) = ((2x + 1)(x + 3))/(4(x + 3)) = ((2x + 1)(x + 3))/(4(x + 3)) = (2x + 1)/4 After simplifying the expression , she stated that there are no restrictions on x since the denominator of her answer is a constant and cannot possibly equal Did Carmella make any mistakes in her problem ? If explain and correct her mistake ( s ) .

1 Answer

9 votes

Answer: No, she is right

Explanation:


(2x^2+7x+3)/(4x+12)

Factor the trinomial, what two numbers multiply to equal 6 but add to equal 7. That is 6 and 1.


(2x(x+3)+(x+3))/(4(x+3))

The (x+3) will cancel


(2x+1)/(4)

User CesareoAguirre
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