What is the relationship between the root and the coefficient of the equation of degree n of one variable Quadratic equation of one variable Univariate cubic equation . What does it have to do with coefficient

There are n roots in theory

RELATED INFORMATIONS

1. Write out a quadratic equation with one variable, so that one root is greater than 1, the other root is less than 1, and the equation with quadratic coefficient of 1 is______ ．
2. Write out a quadratic equation of one variable with one root of 2 and the other root of 1
3. After the coefficient of the first term of the quadratic equation of one variable is exchanged with the constant term, one root of the new equation is twice as much as one root of the original equation, and the other root is the same as the original equation. Please write such an equation, and you'd better tell me the reason,
4. Given z = 1 − 2I, then 1z=______ ．
5. The real part of complex I is
6. 2. What is the conjugate complex number of the complex number 2I / (1-I), the calculation process, thank you ~~
7. The conjugate complex of complex 2i1 − I is______ ．
8. The conjugate complex of complex number (1-2i) ∧ 2 is
9. In the complex plane, set points a, B and C, and the corresponding complex numbers are I, 1, 4 + 2I respectively. Make a parallelogram ABCD through a, B and C. find the coordinates of point D and the length of the diagonal BD of the parallelogram
10. In the complex plane, set a point A.B.C, and the corresponding complex numbers are I, 1, 4 + 2I respectively. Through a, B, C, make the parallelogram ABCD, and find the length of the diagonal BD of the parallelogram
11. What is the sum of n roots of the equation of degree n in one variable? Can there be a proof process/ One variable n-th path The sum of n roots of XN + an-1xn-1 + ····· + a1x + A0 = 0 is equal to?
12. How to prove that an equation of degree n of one variable must have complex roots
13. Given that a, B and C are the three roots of the equation x ^ 3 + PX + q = 0, how to get a + B + C = 0 according to the relationship between the root and the coefficient Such as the title
14. Should the plural be z = a + bi or Z = a + IB I saw z = a + bi in my high school math textbook But the advanced mathematics book says z = a + IB Which one is right
15. Let A0 + A1 / 2 +. + an / (n + 1) = 0, and prove that the polynomial f (x) = A0 + a1x +. + anx ^ n has at least one zero point in (0,1)
16. It is proved that the polynomial A0 * x ^ n + A1 * x ^ n-1 + A2 * x ^ n-2 +. +... An = 0 has at least one real root when n is odd. (A0! = 0)
17. If the complex sequence {an} satisfies A1 = 0, an = (an-1) ^ 2 + I (n is greater than or equal to 2), then the sum of its first 2007 terms is?
18. How can z = a * cost + IB * Sint (a, B are real constants) be expressed as a rectangular coordinate equation? By the way, let me talk about the relationship between complex equation and rectangular equation
19. A mathematical problem on the complex number! If the complex number Z1 satisfies Z1 = I (2-z1) (I is an imaginary unit), if | Z | = 1, find the maximum value of | z-z1 |
20. Let the vertices of a polygon be in the form of 1 + Z + Z2 +..., in the complex plane +The point of ZK-1 and; where | Z|