Answer:
(a) yes
(b) no; see below
Step-by-step explanation:
(a) Integer roots of the quartic will be integer divisors of 6. One of the divisors of 6 is 3, so 3 is a possible root.
(b) In order for 3 to be a double root, it would have to be a double factor of 6. The only integer factors of 6 are 1, 2, 3, 6. (3² = 9 is not one.)
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The quartic can be written as ...
k(x -a)(x -b)(x -c)(x -d) . . . . . where a, b, c, d, k are integers
The constant term will be kabcd, of which each of the roots is a factor. If the constant is 6 and one root is d=3, then we must have
kabcd = 3kabc = 6
kabc = 6/3 = 2
Among these four integer factors, there must be an even number of minus signs, and one that has the value ±2. Another root whose value is 3 will not satisfy the requirements.
Answer:
Step-by-step explanation:
3a^4 -2a^2 + 5 - 10 -(2a^4 +4a^2 + 5a -2)
as given.. i'm wondering if the 5 in the first group is really 5a.. hmmm
I'm guessing that it is... soooo distribute the minus sign
= 3a^4 - 2a^2 +5a -10 -2a^4 -4a^2 -5a +2
= a^4 -6a^2 -8 :) voila that's your answer
Answer:
y - 7 = -8(x - 1)
Step-by-step explanation:
We are provided with some information
We are given point (1,7)
Slope = -8
Using a point slope form formula
y - y_1 = m (x - x_1)
m = -8
y_1 = 7
x_1 = 1
Inserting the given values into the equation
y - y_1 = m ( x - x_1)
y - 7 = -8 ( x - 1) ( point slope form)
Don't confuse slope intercept form with point slope form
Slope intercept form
y = mx + C
y - point y
m - slope
x - point x
C - intercept
Point slope form
y - y_1 = m(x - x_1)
Answer:
2/3
Step-by-step explanation:
Given that:
Number of students = 80
Number of parents = 40
fraction of the ratio of students to the total number of people at the graduation
Total number of people at graduation =. (number of students + number of parents)
80 + 40 = 120
Number of students : total people
80 : 120
80/120 = 8/12 = 2/3
Answer:
noe
Step-by-step explanation:
basically because those are all integers of 300
