Question

HELP!!(:
Simplify the rational expression. State any restrictions on the variable.

p^2 - 4p - 32 / p + 4

Answer 1

@petewe @jlastino @ash2326 can you guys help me solve and understand this?

Answer 2

I suppose you would just factor the numerator and state your asymptotes.

Answer 3

one restriction is the denominator can't be 0 cause that will make the function undefined
so you equate the denominator to 0

Answer 4

factorise the numerator, and then cancel out like terms. how ever do not froget to post the constraint that p UNEQUAL to -4. since at p=-4 the function is not defined.

Answer 5

but in this case p = -4 is a hole, so there is no asymptote.

Answer 6

it's a linear with a hole at -4

Answer 7

@apoorvk @petewe @jlastino so its either \[-p-8; p \neq -4\] or \[p-8; p \neq -4\]

Answer 8

Not quite, there would be no restrictions because there is no asymptote.

Answer 9

@petewe then what would it be and why?

Answer 10

It would simply be a linear equation: (p-8) with a hole.

Answer 11

well thats not in any of the answers i can choose for my extra credit

Answer 12

@petewe well thats not in any of the answers i can choose for my extra credit

Answer 13

@petewe so that cant be it

Answer 14

@apoorvk what do you think?

Answer 15

What are your options?

Answer 16

@apoorvk the two equations i had earlier as you can see above and \[-p-8; p \neq 4\] or \[p+8; p \neq 4\]

Answer 17

@apoorvk and @petewe look above

Answer 18

I think there's some error in the option, should be "p-8". Is a printing or a typing error a possibility?

Answer 19

@apoorvk but i'll choose the only one that has p-8

Answer 20

@apoorvk thanks for your help!

Answer 21

no worries! :)