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:
Length of the volleyball court in drawing = 2 mm
Step-by-step explanation:
8 meter = 8 *1000 = 8000 mm
Scale factor = 1 : 8000
Length of the volleyball court in drawing = x
1 : 8000 :: x : 16000
x = 2 mm
Answer:
The unit rate of $10 per hour.
Step-by-step explanation:
Given
See attachment for graph
Required
What does the given point represents
From the attachment, the origin of the graph is:
and we have the given point to be:
Calculate the slope (m)
The slope represents $10/1 hour
Hence:
means the unit rate is $10 per hour
Answer:
-9/7
Step-by-step explanation:
Slope = y2-y1 / x2 - x1
= -8-2 / -10-5
= -10 / -15
= 2/3
A
