find any numbesr for which the rational expression is undefined

Question

y

___

7y^2+17y+6

Answer 1

Hi Barb,

 

You need to find the values of y that make the denominator equal to zero because division by zero is undefined. let's see if we can factor the denominator.

7y^2 + 17y + 6 = (7y+3)(y+2)

 

so now we have

y

------------------

(7y+3)(y+2)

 

7y + 3 = 0

7y = -3

y = -3/7

 

solve the other factor

y + 2 = 0

y = -2

 

so  for x=-2 and -3/7, the rational polynomial will be undefined.