let's recall the remainder theorem.
we know that (x-1) is a factor, that means x -1 = 0 or x = 1.
since we know that (x-1) is a factor, then dividing the polynomial by it will give us a remainder of 0, which correlates with saying that f(1) = 0, in this case, so we can simply plug in "1" as the argument, knowing it gives 0.
![f(x)=3x^3+kx-11\\\\[-0.35em]~\dotfill\\\\\stackrel{0}{f(1)}=3(1)^3+k(1)-11\implies \stackrel{f(1)}{0}=3+k-11\implies 0=-8+k\implies 8=k](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3%2Bkx-11%5C%5C%5C%5C%5B-0.35em%5D~%5Cdotfill%5C%5C%5C%5C%5Cstackrel%7B0%7D%7Bf%281%29%7D%3D3%281%29%5E3%2Bk%281%29-11%5Cimplies%20%5Cstackrel%7Bf%281%29%7D%7B0%7D%3D3%2Bk-11%5Cimplies%200%3D-8%2Bk%5Cimplies%208%3Dk)
Answer: none
Step-by-step explanation: there are no WHOLE numbers between 39
Inductive reasoning has to do with coming to a certain prediction or a conclusion based on multiple true premises.
Here, we know that these two cats live together and that they have yellow eyes. These two statements are true. So, naturally, we can conclude that any two cats which live together will have yellow eyes.
Now, whether or not this is correct, that is beside the point.
Answer: No.
Step-by-step explanation:
If you multiply 1001 by 1001 it's not another palindromic number.
Answer:
3/2
Step-by-step explanation:
3/4 * 2 = 6/4 = 3/2
