1. ## Had Make up test

So basically I had a make up test in Pre-Calc and right now I feel like ripping my hairs out for I have no idea if I got certain questions right. Any help will be appreciated. Thanks in advance

From the top of my head I remembered certain questions such as:
1) You have 2x^4+3x^3+7x^2-7x-5

I had to find the root now was I supposed to use the basic p over q and plug in which were correct roots?

2)This one killed me
-4x^4+8x^3+7x*5
I had to find the smallest root?

3) This one also confused me and I could not answer. It gave me two roots 2+i and 3. I was supposed to find out the cubic polynomial. How exactly is this done?

Thanks in advance for anyone who is willing to help.

$\displaystyle \frac {factors of 5}{root factors of 2} = \pm \frac{1}{2} \pm 1 \pm \frac{5}{2} \pm 5$
In this case $\displaystyle 1 and \frac{-1}{2}$