The urgent need of College Mathematics: try to prove the reducibility of primitive polynomial x ^ 10 + x ^ 5 + 1 I just applied for the number, I hope you can help me

Obviously x ^ 2 + X + 1 is a factor of it

RELATED INFORMATIONS

1. Let f (x), G (x) and H (x) be polynomials, and the first coefficient of H (x) is 1. It is proved that: (f (x) H (x), G (x) H (x)) = (f (x), G (x)) H (x)
2. A quadratic trinomial about the letter X, the coefficient of the quadratic term is - 1 / 3, the coefficient of the primary term is 1. The constant term is - 2 / 3, and the quadratic trinomial is?
3. If the coefficient of the quadratic trinomial of X is - 5, write this polynomial
4. Write a quadratic trinomial about x such that the coefficient of its quadratic term is - 1 / 2
5. Please write a quadratic trinomial about X so that the coefficient of the quadratic term is - 3, then the quadratic trinomial is ()
6. Given the cubic of X + twice of X + X + 1 = 0, find the value of twice of 1 + X + X + thrice of X + --- + 2012 times of X
7. |X-Y | = under the root sign (x + y) twice + () The answer is - 4xy, who can tell me,
8. The minimum value of function f (x) = 6 / 2 ^ x + 3 ^ x on [- 1,2]? A, 36 / 5 B 6 C 3 D 6 / 13 Tell me why
9. Find the coefficient of 1 / x ^ 6 in (1 + 2 / x ^ 2) ^ 5 expansion
10. In the expansion of (x + 1) 3 + (x + 1) 4 + (x + 1) 5 + (x + 1) 6 + (x + 1) 7, the coefficient of X4 is? (the following numbers are all to the power.)
11. If the coefficient of the quadratic term and the constant term of a quadratic trinomial with respect to the letter X are both 1 and the coefficient of the primary term is three fourths, then
12. (3) It is known that X / (x 2 + x 2 + 1) = 1 / 4, x 2 / (x 4 + x 2 + 1)
13. Known x2-3x-1 = find the value of X4 + 1 / x4, x + 1 / X (correct title)
14. How many times is polynomial-1 / 8x ^ 3-A ^ 2x ^ 2 + X? Is - A ^ 2 a coefficient or an unknown? How many times is 2 / 5x-by ^ 2?
15. Using the matrix method, the equations are: 2x1-3x2 + x3-x4 = 33x1 + x2 + X3 + X4 = 0 4x1 - X2 - x3-x4 = 7 - 2x1-x3 + X3 + X4 = - 5
16. There are () rational numbers x that make (x ^ 2 + 3x) ^ 2-2 (x ^ 2 + 3x) - 8 equal to zero A.2 B.3 C.4 D.5
17. Let x obey the exponential distribution with parameter 2, then d (3x) = 36
18. (x + 1) (x + 2) (x + 3); (x + 19) (x + 20) expansion of the coefficient of the 18th power of X! Super
19. In the arithmetic sequence {an}, if A4 + A8 = 16, then A2 + a10=______ ．
20. Let a ≠ 0 and f (x) = a (x ^ + 1) - (2x + 1 / a) have the minimum value - 1, let the first n terms of an and Sn = f (n), let BN = (A2 + A4 +...) +a2n)/n,