What is the limit as t approaches -9 of the function t^2-81/ 2t^2+19t+9?

Question

inkyvoyd · Answer

factor the numerator and denom - hint for the numerator use difference of squares

anonymous · Answer

(t+9)(t-9) how do i do the bottom

inkyvoyd · Answer

well since these problems always want you to cancel out common factors in the numerator and denom you know that the bottom has either factor t+9 or t-9

inkyvoyd · Answer

there is no way the bottom is t-9 because the first degree coefficient is positive

inkyvoyd · Answer

therefore one of your factors must be t+9

debbieg · Answer

And also notice, leading coeff of 2 means that you know that the first terms of your factoring must be    t and 2t  :) that will also help.

anonymous · Answer

guys im sorry i copied the question wrong
it's 2t^2-19t+9

inkyvoyd · Answer

in that case the factor must be t-9 because there is no way for it to be t+9 due to the -19

jdoe0001 · Answer

the top is easy
pretty much just focus on factoring the denominator mainly

jdoe0001 · Answer

so see if you  can get 2 binomials as factors from $\bf 2t^2+19t+9 \implies (\square+\square)(\square+\square)$