yes!
Absolutely! That is like asking whether the Pythagorean Theorem has to do with right triangles!
Yes, he must have proved his own Theorem otherwise it would not have been adopted by mathematicians across the globe. I'm sure you could test out the theorem: check whether c2 really does equal b2 + a2 in a manual measurement of a triangle; though this is less accurate and not as precise as the Theorem.
No.
no
The remainder is not zero so y-3 is not a factor of y^4+2y^2-4
In computational complexity theory, Cook's theorem, also known as the Cook–Levin theorem, states that the Boolean satisfiability problem is NP-complete. That is, any problem in NP can be reduced in polynomial time by a deterministic Turing machine to the problem of determining whether a Boolean formula is satisfiable.
If two sides of a triangle with a right angle are known, the Pythagorean Theorem can help you find the third one. It can also be used to verify whether a certain triangle is, indeed, a right triangle (if the three sides are known).
Pythagoras supposedly made influential contributions to philosophy and religion in the late 6th century BC. He is best known for the Pythagorean theorem which bears his name. However, because legend and mystery cloud his work even more than that of the other pre-Socratic philosophers, only tentative accounts of his work are given, and it has been questioned whether he contributed much to mathematics or natural philosophy, and whether the Pythagorean theorem is even his.
There is no exact time that has been traced to Pythagoras writing this theorem. In fact, there are many who question whether the theorem was not created hundreds of years before Pythagoras. Pythagoras is widely thought to have lived from 569-475 BC, so it would be safe to assume that he would be credited sometime around this time period.
We have no evidence which would indicate whether or not Shakespeare enjoyed gardening.
By definition, a theorem is a proven statement- until a proof is made for a statement, it is not a theorem but rather a conjecture. Whether you need to be able to reproduce the proof of a known theorem is another matter. If you trust the prover, I think you can make use of a theorem without knowing the proof. However, studying the proof can give you valuable insights into what the theorem really means and how it might be used. Also, reading proofs made by other people can help you prove you own theorems and write them up coherently.