What is the completely factored form of this polynomial?

2x^4+11x^2+5

2x^4-11x^2+5=0

Step-by-step explanation:

3.1     Factoring  2x4-11x2+5  

The first term is,  2x4  its coefficient is  2 .

The middle term is,  -11x2  its coefficient is  -11 .

The last term, "the constant", is  +5  

Step-1 : Multiply the coefficient of the first term by the constant   2 • 5 = 10  

Step-2 : Find two factors of  10  whose sum equals the coefficient of the middle term, which is   -11 .

     -10    +    -1    =    -11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  -1  

                    2x4 - 10x2 - 1x2 - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x2 • (x2-5)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x2-5)

Step-5 : Add up the four terms of step 4 :

                   (2x2-1)  •  (x2-5)

            Which is the desired factorization

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

circumference divided by 3.141592654 then timesthe radius twice

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice