![\frac{3(5m^{4}-2m +12)}{m-6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%285m%5E%7B4%7D-2m%20%2B12%29%7D%7Bm-6%7D%20)
should be the right answer
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.
X−7<1
Add 7 to both sides.
x−7+7<1+7
x<8
To plot this on a number line, put a circle around 8 and a line going to the left with an arrow at the end.
Hello,
To find the scale factor, we have to look at what's going on in the problem.
In point A, we are converting from (5, 3) to (7.5, 4.5).
We can write and solve equation to find the change (scale factor)
5x = 7.5 and 3x = 4.5
If you solve either equation, you will find the scale factor is 1.5.
Good luck,
MrEQ
Answer:
Exact form : - 1/5
Decimal form : -0.2
Step-by-step explanation: Substitute the value of the variable into the equation and then simplify.
Hope this helps you out. If not, comment and let me know. Good luck, mate! ☺
-Leif the Insane Puppy Loving Weirdo-