A player is randomly dealt a sequence of 13 cards from a deck of 52-cards. All sequences of 13 cards are equally likely. In an e
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Answer:
Error made by Andrew: He identified incorrect factors based on the roots.
Step-by-step explanation:
The roots of the polynomial consist of: 3, 2 + 2i, 2 - 2i. By the factor theorem, if a is a root of the polynomial P(x), then (x - a) must be a factor of P(x). According to this premise:
(x - 3), (x - (2 + 2i)), (x - (2 - 2i)) represent the factors of the polynomial.
<pBy simplification, we obtain:(x - 3), (x - 2 - 2i), (x - 2 + 2i) as the respective factors.
This is where Andrew's mistake occurred. Factors should always be in the form (x - a), not (x + a). Andrew expressed the complex factors incorrectly, resulting in an erroneous conclusion.
Thus, the polynomial can be expressed as:
2(4x-11) = 10
Method 1:
Divide both sides by 2:
Then add 11 to both sides:
Finally divide both sides by 4
Method 2:
Use the distributive property:
Add 22 to both sides:
Then divide both sides by 8
Method 1:
Divide both sides by 2:
Then add 11 to both sides:
Finally divide both sides by 4
Method 2:
Use the distributive property:
Add 22 to both sides:
Then divide both sides by 8