The first step is to determine the zeros of p(x).
From the Remainder Theorem,
p(a) = 0 => (x-a) is a factor of p(x), and x=a is a zero of p(x).
Try x=3:
p(3) = 3^3 - 3*3^2 - 16*3 + 48 = 27 - 27 - 48 + 48 = 0
Therefore x=3 is a zero, and (x-3) is a factor of p(x).
Perform long division.
x² - 16
-------------------------------------
x-3 | x³ - 3x² - 16x + 48
x³ - 3x²
-----------------------------------
- 16x + 48
- 16x + 48
Note that x² - 6 = (x+4)(x-4).
Therefore the complete factorization of p(x) is
p(x) = (x-3)(x+4)(x-4)
To determine when p(x) is negative, we shall test between the zeros of p(x)
x p(x) Sign
---- --------- ---------
-4 0
0 48 +
3 0
3.5 -1.875 -
4 0
p(x) is negative in the interval x = (3, 4).
Answer
The time interval is Jan. 1, 2014 to Jan. 1, 2015.
Answer:
we know that mean of the data set is
Sum of all terms / total no. of terms
mean = 120+145+130+80+95+100+340+n / 8
140 = 1010+n / 8
140*8 = 1010 + n
1120 = 1010 + n
1120 - 1010 = n
110 = n
therefore the value of n should be 110
hope it's helpful
9514 1404 393
Answer:
C. (45+11i)/29
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
Counting backwards next is 1
