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Will medal AND fan <3

I'm confused

\[f(g(x)) = 3(5x^2-1)^2-(5x^2-1)+2\] this is the proper one

Ok. I see

Now you may simplify it :)

Can you wait until I finish so you can check my answer? :)

15x^2-3-5x^2+7 yes?

Mhm, not quite, notice it's \[3(5x^2-1) \huge ^{2}\]

Ok. I don't understand

\[(5x^2-1)^2 \implies (5x^2-1)(5x^2-1)\]

Ohh! Okay

Yup :)

25x^4-10x^2+1

Awesome, now lets multiply it by 3 \[3(25x^4-10x^2+1)\]

75x^4-30x^2+3

That's great :D, now we have \[75x^4-30x^2+3 -(5x^2-1)+2\]

Now simplify it a bit more

75x^4-30x^2-5x^2+3

Good one more step though, look for like terms

75x^4-35x^2+3

Yup, nice work!!

Is that it?

Yup, we're done :)

Can I ask one more please? :)

\[f(g(x)) = 75x^4-35x^2+3\]

Unless you want solutions to it as well, but I doubt it, since it's gross...and sure :)

Lol okay thanks :)

And we are solving for x? :)

Solve the equation for the variable. Show each step of your solution process.

Sounds fun, any idea how to start

And yes :) You know, the usual

See if you can do anything with the 4

subtract it from 5?

Yup

|dw:1434493963942:dw| so far so good right

Now do you know how to deal with the square root

square both sides?

Yay :)

Alright so we should have what now?

Add 3 to both sides?

|dw:1434494236543:dw|

So, subtract 3 I meant

Yes :), and our answer will be? :D

x=-2

Yes!! |dw:1434494432642:dw|

HAHAHA :D Yesssss

Ok last one, and I'm done. Pleaseeee

Lol ok ok

Thank you friend!! *Huge internet hug*

Isn't it greatest to least?

Yes, I made a mistake xD

Tried to fix it before you saw haha, but nice catch!

Good! Now lets state the terms, and figure out what kind it is!

polynomial?

Yes, but I think they might want you to say quadrinomial (meaning 4)

oh okay :)

what about the degree?

Yup, and that's it!

Haha, thanks and your welcome :)