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:
-2,400
Step-by-step explanation:
since they are in parentheses u multiple them together. a positive number × a negative number is a negative number.
Answer:
The missing value of x is 3
Step-by-step explanation:
Given Table:
x y
3 10
__ 20
The relation of x and y (x,y) is not a function.
Relation is function if it is one-to-one.
One-to-one means to different value of x to get different value of y.
If function is not a function then one value of x to get two different value of y.
For first value of x=3, y=10
For which value of x= ? , y=20
x must be 3
x=3 to get y=20
The missing value of x is 3 because same of x we get two different value of y.
Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.
<h3>Is the given function even, odd or neither?</h3>
Given the function in the question;
g(x) = (4 + x²)/(1 + x⁴)
To determine if the function is even, odd or neither, we find g(-x) by substituting -x for all occurrence of x in the function.
g(x) = (4 + x²)/(1 + x⁴)
g(-1) = (4 + (-x)²)/(1 + (-x)⁴)
Simplify
g(-x) = (4 + x²)/(1 + x⁴)
Hence,
g(-x) = g(x)
Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.
Learn more about even functions here: brainly.com/question/23446734
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Answer: 
Step-by-step explanation:
