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:
bro let me tell you rn, your teacher (or whoever made this) took 9 hits off of a crack pipe before writing this question.
15% of 80 is 12, so he got $12 in tips
so the total amount of money earned should be $92 dollars
Answer:
375 miles
Step-by-step explanation:
Create a proportion where x is the number of miles she can drive on 12.5 gallons of gas:
= 
Cross multiply and solve for x:
3.2x = 1200
x = 375
So, with 12.5 gallons of gas, Sara can drive 375 miles
