Which polynomial represents the difference below?
5x²+9x+3
- (6x²-3x)

a. -x²+6x+3
b. -x²+12x+3
c. 5x²+3x+3
d. 5x²+6x+3

5x² +9x+3−(6x²−3x)

1 Remove parentheses.

5x²+9x+3−6x²+3x

2 Collect like terms.

(5x² −6x² )+(9x+3x)+3

3 Simplify.

-x² +12x+3 which is B

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.