Using the Factor Theorem, it is found that the polynomial function is given by:
- , in which a is the leading coefficient.
<h3>Factor Theorem:
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- The Factor Theorem states that a polynomial function with roots is given by:
- In which a is the leading coefficient.
In this problem, we have that there is a:
- Zero at x = -2, hence .
- Zero at x = 5, hence .
- Zero at x = -3i, hence there also has to be a zero at it's conjugate x = 3i, hence .
Then, the function is:
To learn more about the Factor Theorem, you can take a look at brainly.com/question/24380382
Answer:I would help u just tht I suck at math but I can try?
Step-by-step explanation:
Answer:
24/5 (Nothing wrong with that.)
Step-by-step explanation:
Dividing is multiplying with the second fraction flipped.
4/5 / 2/12 ----> 4/5 x 12/2
Multiply across. 4 x 12 = 48. 5 x 2 = 10.
Combine. 48/10.
Simplify (divide both sides by 2) . 24/5.
Answer:
Step-by-step explanation:
The formula is
which models the exponential function
where a is the initial amount of whatever it is you have (in our case it's bacteria), b is the growth rate (ours is 4 which means that every day the number from the day before increases by a factor of 4), and x is the number of days. We plug into the formula the values we have, starting with x = 1:
Always raise what's inside the parenthesis first, then multiply in the 45. 4 to the first is 4, and 4 multiplied by 45 is 180. After the first day, there are 180 bacteria present in the culture.
Next, x = 2:
which simplifies to
y = 45(16) so
y = 720.
Next, x = 3:
which simplifies to
y = 45(64) so
y = 2880