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:
The answer is on the picture.
Step-by-step explanation:
The answer is on the picture.
Answer: dog
Step-by-step explanation:
so basically 70 plus 7 equals 9 and then u ride the car with the horse while eating a fish. how much burgers did he eat?
Answer:
21-9 = 12
Step-by-step explanation:
I don't know if this is the correct sentence you are looking for though but i hope it helps
Answer:
A
Step-by-step explanation:
The given angles are vertical and thus congruent, so
3x = x + 40 ( subtract x from both sides )
2x = 40 ( divide both sides by 2 )
x = 20 → A
