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ariannawilder0210
02.04.2020 •
Mathematics
A box has three cards numbered 1, 2, and 3
A bag has three balls labeled A, B, and C
Carlos will randomly pick a card from the box and record the number chosen.
Then he will randomly pick a ball from the bag and record the letter chosen.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event that the letter chosen is C .
Use the format 1A to mean that the number chosen is 1 and the letter chosen is A.
If there is more than one element in the set, separate them with commas.
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Ответ:
Step-by-step explanation:
Start multiplying and adding all together. You get
.
At this point we're stuck factoring since there exist a formula for the roots, but it's nowhere easy to remember. We start writing down The List (rational root theorem: it's the divisor of the constant term divided by the divisor of the lead coefficent, with a plus or minus, in our case it's
) and let's try checking one by one.
Value
gives a zero on the LHS, it means the polynomial is divisible by
. By doing the division, or writing it as
, multiplying on the LHS and then finding the values of a, b, and c (easiest for me, your mileage may vary) we can write our expression, finally, as