At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
Factor out 3t^2
factor 3t^2(t^4 - 16) = 0 t = 0 , 2 , -2
Now you have the difference of two squares. Factor that.
How do you factor that out? I understand how you get that but there should be six answers
t = 0 , 2 , -2, 2i,-2i
what happened to the 3t^2?
x=0 double root
I left it off because I thought you already recognized that it is a factor.
so how do you get the six answers by factoring is what im confused about
That is the completely factored form.
how do you get the six answers though. I know there should be six because the degree is six
there are 6 answers already!
How didyou get them though? I see and understand there are six but i dont know HOW you got them
\[3t^6-48t^2=0\] \[3t^2(t^4-16)=0\] \[3t^2(t-2)(t+2)(t^2+4)=0\]
If the product of factors is 0 then one of the factors has to be 0. so set each factor to 0 and solve
not sure how you are confused. Do you know how to find the *2* roots of \[ t^2= 0\] t= ±0 two solutions, 0 and 0
\[3t^2=0\] \[t+2=0\] \[t-2=0\] \[t^2+4=0\]
if a*b=0 then a=0 or b=0
Okay, now I understand, thankyou so much