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:
No, it is not
Step-by-step explanation:
In order to compare the two numbers, start by simplifying 451/2
451 ÷ 2 = 225 R1
452/2 = 225 1/2
225 1/2 _ 45
225 1/2 > 45
D. None of those. The actual answer should be X + 7/2
Answer:
he makes 14 field goals and 7 extra point kicks
Step-by-step explanation:
- f=#of field goals
- e=extra kick points
- f+e=21
- 3f+1e=49
- subtract top from bottom
- 2f=28
- f=14
Answer:
y = x² - 13x + 36
Step-by-step explanation:
Given the zeros x = 4 and x = 9, then the corresponding factors are
(x - 4) and (x - 9)
The polynomial is then the product of the factors
y = (x - 4)(x - 9) ← expand using FOIL
y = x² - 13x + 36
