"Let f(x) be a fifth-degree polynomial, x=-1 is the triple root of the fifth-order equation f(x)+1=0, and x=1 is the triple-fold root of the fifth-order equation f(x)-1=0, find f(x).

How to solve this problem, the teacher talked about it in class, but I didn't understand it. Zhao Mengqi looked at the wrong question on the test paper, her willow eyebrows were frowning, and there was a gloomy look on her pretty face, and Chen Yalan on the side was also a little dazed, because she didn't know this question.

Huo Xiaotian raised his head from the table, wiped his saliva, opened his worried eyes and looked over, "It's been so long, why haven't you finished it yet?" ”

"Xiaotian, tell me how to solve this problem?" Zhao Mengqi pulled Huo Xiaotian, Huo Xiaotian rubbed his eyes, and looked at Zhao Mengqi's test paper with a somewhat blurred gaze.

"This question? You wouldn't be able to do that simple? Huo Xiaotian glanced at it casually, looked at Zhao Mengqi strangely and asked.

"Is this a simple question? It seems like you're the only one in the class who is doing it. Zhao Mengqi said angrily, she was very suspicious that Huo Xiaotian was now suspected of being cheap and obedient.

"You don't want to sell it, hurry up, I won't either." Chen Yalan, who was sitting on Huo Xiaotian's left, also leaned over and asked.

Huo Xiaotian, who was sandwiched between two beauties, smiled, picked up the pen and began to explain in the exercise book.

Actually, this problem is not difficult at all, because x=-1 is the triple root of f(x)+1=0, so the quadratic of f'(x)=(x+1) is multiplied by h(x).

And because x=1 is the triple root of f(x)-1=0, f'(x) is equal to a multiplied by the quadratic of (x-1) and multiplied by the quadratic of (x+1), where a is a real number.

Do you understand this? Huo Xiaotian explained while looking at the two beauties, and the two beauties seemed to have a little way to hear it, and nodded obediently.

"Well, with the first two conditions, we can deduce: f(x) is equal to a multiplied by 5/5 [to the fifth power of x] minus two-thirds multiplied by x to the third power plus x, and finally b is added, where b is a real number.

After obtaining the above equation, there are f(1) equal to 8/15a plus b equal to 1, and f(-1) is equal to negative 8/15a plus b equals minus 1, then the specific values of a and b can be solved, and after obtaining the values, bring them back to the previous equation to get the polynomial you want. Huo Xiaotian patiently explained.

After listening to Huo Xiaotian's explanation, the two beauties glanced at each other and seemed to understand a little, but there was still a little doubt, I don't know if the equation can be solved according to Huo Xiaotian's thinking, and the result of the solution will be different from the standard answer.

"Is that right?" Zhao Mengqi asked.

"How can you know if you don't explain it yourself, right?" Huo Xiaotian rubbed Zhao Mengqi's little head and said with a smile.

Zhao Mengqi straightened out the long hair that was rubbed by Huo Xiaotian, buried her head in it, and soon after, she really solved the correct answer, and she was very happy.

"yes, it's really solved." Zhao Mengqi smiled happily, and on the other side, Chen Yalan also solved the answer, very happy.

"Xiaotian, you are so amazing, the teacher has studied this question for a long time to figure it out, and you actually got it right the first time." Zhao Mengqi said with envy on her face.

"Hehe, little case, what's this kind of topic? Compared to the equations of quantum theory, it is simply weak. As soon as Huo Xiaotian said this, the two beauties were dumbfounded.

"What are quantum theoretical equations?" The two beauties asked confusedly.

"Quantum theoretical equation is a new mathematical equation extended from Einstein's general theory of relativity, to solve the microscopic physical laws that classical mechanics cannot explain, although today, quantum physics has been developed to a great extent, but it is still unable to organically combine the macroscopic universe with the microscopic universe, and this is also the only way for human beings to solve the ultimate mystery of the universe, so I am deducing the quantum theoretical equation, It is to derive a set of ultimate equations that can integrate all the laws of the universe, and this equation is the supreme law that the universe follows. Huo Xiaotian explained to the two beauties.

Before listening to Huo Xiaotian's explanation, the two beauties were just a little confused, but after listening to Huo Xiaotian's explanation, the two beauties were completely dizzy, and they didn't know what Huo Xiaotian was talking about, what kind of microcosmic and macrocosmic universe, as if they were listening to the book of heaven.

Looking at the confused faces of the two beauties, Huo Xiaotian smiled and shook his head, indeed, these theories are the ultimate problem even in the eyes of university professors, how can two senior high school girls understand them?

"I really don't know how many brains you have in your head, how can you be so smart? I don't usually see how you study in school, but your grades are so good, what a monster. Zhao Mengqi stretched out her little hand, touched Huo Xiaotian's head and said.

"Okay, it's not too early, you two should rest early, there are still a few days to take the college entrance examination, you must rest well and adjust your state." Huo Xiaotian closed the textbooks of the two beauties and pulled the two beauties to lie down on the bed together.

"Hey, you've done a good review, but we haven't yet." Zhao Mengqi did not follow the way.

"Only when you have a good rest can you be efficient, and if you do the questions in a daze, it is a waste of time and inefficient at all." Huo Xiaotian pinched Zhao Mengqi's little nose and said.

"You guys go to sleep first, I'll go to the bathroom." Chen Yalan said, got up and left the bedroom, Huo Xiaotian looked over strangely.

"Yalan, are you alright?" Huo Xiaotian asked.

"It's okay, you guys go to sleep first." Chen Yalan said a word and left.

"Yalan's face doesn't seem to be very good, huh?" Huo Xiaotian said strangely.

"Well, Sister Yalan doesn't seem to be feeling well these days, could it be that the eldest aunt is here?" Zhao Mengqi guessed.

was reminded by Zhao Mengqi, Huo Xiaotian thought about it, it seems possible, the college entrance examination is approaching recently, the study pressure is very high, and he usually doesn't pay attention to his body, so it is very likely to cause symptoms such as menstruation, and Huo Xiaotian found that Chen Yalan's face is not very good in the past few days, a little pale, and her hands and feet are cold, which seems to be related to ischemia, and when this information is combined, Huo Xiaotian immediately came to the conclusion that it must be Aunt Yalan who is here, and it is also accompanied by the possibility of painful menstruation and a large amount of blood loss.

Thinking of these symptoms, Huo Xiaotian's back was cold, and his heart felt a little chilly, fortunately, he found it in time, otherwise, with Chen Yalan's current state, if she persists until the college entrance examination, when the time comes, if she is nervous, maybe she will faint.

"This girl, why are her nerves so big? The body is like this, and you still have to hold on! Huo Xiaotian got up and wanted to find something nutritious to replenish Chen Yalan's body, but the refrigerator was empty, except for some vegetables that did not have much nutritional value, there were very few eggs. (To be continued.) )