what is the quotient in simplified form? State any restrictions on the variable. (6x)/x^2+3x28 divided x^236/x^2+5x36
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2 answers

{(6x)/[(x+7)(x4)]} / {[(x+6)(x6)]/[(x+9)(x4)]} = [(6x)(x+9)(x4)] / [(x+7)(x4)(x+6)(x6)] =
(x+9) / [(x+7)(x+6)]
x cannot equal 6 or 7 ... division by zero is a nono 👍
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answered by scott 
(6x)/(x^2+3x28) ÷ ( (x^236)/(x^2+5x36) )
= (6x)/(x^2+3x28) * (x^2+5x36)/(x^2  36)
= (6x)/( (x+7)(x4) ) * (x+9)(x4)/((x6)(x+6) )
= (x+9)/( (x+7)(x+6) ) , x ≠ 4,6
The restriction of x ≠ 4,6 must be stated, otherwise we actually did divide by zero.
The restriction of x ≠ 7, 6 is implied, in the original problem as well as the answer, it doesn't really have to be stated 👍
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answered by Reiny
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