Answer:
c
Step-by-step explanation:
If the x represents a multiplication sign, I recommend you use * for multiplication signs from here. Your answer is: <span>5,597.77218</span>
Answer:
c. two or none
Step-by-step explanation:
The signs of the coefficients are ...
+ - +
so there are <em>two</em> sign changes: + to -, and - to +. Descartes' rule of signs tells you to interpret this to mean there are 2 or 0 possible positive real roots.
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Pairs of roots are possibly complex, so the number of sign changes can be reduced by any even number to take that possibility into account. That is why 2 sign changes can mean either 2 or 0 positive real roots.
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A graph shows there to be 2 positive real roots and a root at x=0 with multiplicity 2. The latter should be no surprise, since x^2 is a factor of f(x).
If we multiply 1 through 10, the mathematical representation of the product would be,
P = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10
Getting the factors of each number,
P = 1 x 2 x 3 x (2 x 2) x 5 x (3 x 2) x 7 x (2 x 2 x 2) x 9 x (5 x 2)
Then, we take out all the 2's.
2 x (2 x 2) x (3 x 2) x (2 x 2 x 2) x (5 x 2)
Combining all the 2's.
2^8 x 3 x 5
2^8 can also be written as (2 x 2)^4. Thus, the answer is 4.