Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
Answer:
54%
Step-by-step explanation:
total animals=27+23=50
Answer:
For a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean
Step-by-step explanation:
A normal distribution's graph is a bell shaped curve that is completely described by its mean and standard deviation. Standard deviation is measured in terms of distance from mean.
34% of data is covered in one standard deviation from mean on one side.
Therefore, for a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean ..
It will take 40 hours for the water tank to become empty.
Explanation:
Divide 30 by 0.75 (equivalent to 3/4).
