A quartic trinomial about the letter X does not contain the cubic term and the first term. The highest coefficient is 6, the coefficient of the second term is - 1, and the constant term is 1 / 2. Write this quartic trinomial Trinomial

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• 1. Write a quadratic trinomial about x such that its quadratic coefficient is - 5, then the quadratic trinomial is______ ．
• 2. Write a quadratic trinomial about X, and the coefficient of the quadratic term is - 1, then the quadratic trinomial is ()
• 3. Simplify 5 times of X + 4 times of 4x + 3 times of 6x + 2 times of 6x + 2x + 3 4 times (to the fourth power of x)
• 4. If we know that 3 times of X + 2 times of X + X + 1 = 0, then the value of 4 times of X + 3 times of X + 2 times of X + X + 1 is 0
• 5. What is the fifth power of X + the fourth power of X and the second power of Y under the root sign urgent need But also the process
• 6. In the (x-1) - (x-1) ^ 2 + (x-1) ^ 3 - (x-1) ^ 4 + (x-1) ^ 5 expansion, find the coefficient of x ^ 2
• 7. Find the coefficient of the x ^ (- 3) term of (x + 1 / x) ^ 6 * (x-1) ^ 3 expansion
• 8. What is the coefficient of the x ^ 3 term in the (1-x + x ^ 2) (1 + x) ^ 6 expansion
• 9. Let f (x) = (1 + x) ^ 6 (1-x) ^ 5, then what is the coefficient of x ^ 3 in F '(x)?
• 10. Find the coefficient of x ^ 5 in (1 + x-x ^ 2) ^ 6 expansion Please explain the process. Thank you The answer is 6
• 11. On the cubic trinomial of X, if the coefficient of the cubic is 3, the coefficient of the quadratic is - 2, and the coefficient of the primary is - 1, then the cubic trinomial is______ ．
• 12. On the cubic trinomial of X, if the coefficient of the cubic term is 3, the coefficient of the quadratic term is - 2, and the coefficient of the first term is - 1, then what is the cubic trinomial? Explain why
• 13. F (x), G (x) are integral coefficient polynomials, G (x) are primitive, f (x) = g (x) H (x), H (x) are rational coefficient polynomials. It is proved that h (x) is integral coefficient polynomials
• 14. A is a root of F (x) = x cube-3x + 10, B = (square of a + A-2) / 2H (x) is a quadratic polynomial with rational coefficient, H (b) = a, find H (0) The answer is known and understood, but one thing in the process is not very clear,
• 15. Let B be a root of the cubic polynomial f (x) = x3-3x + 10, and a = (B2 + b-2) / 2. If h (x) is a quadratic polynomial with rational coefficients and satisfies the condition H (a) = B, then H (b) =?
• 16. Is a root of the cubic polynomial f (x) = x ＾ 3-3x + 10, and a = (? ＾ 2 +? - 2) / 2. If h (x) is a quadratic polynomial with rational coefficients, then Is a root of the cubic polynomial f (x) = x ＾ 3-3x + 10, and a = (? ＾ 2 +? - 2) / 2. If h (x) is a quadratic polynomial with rational coefficients and satisfies the condition H (a) =?, then H (0)=
• 17. If the sum of the quadratic coefficients and the constant terms of the quadratic coefficients of a quadratic equation of one variable is 0, then there must be a root of the equation which is zero
• 18. In the quadratic trinomial of letter A, if the coefficient of the quadratic term is 2, the coefficient of the primary term is 4, and the constant term is - 3, then the quadratic trinomial is______ ．
• 19. A quadratic trinomial that contains only the letter A, the coefficients of its quadratic and primary terms are negative one, and the constant term is 2. Try to write it out and find the value of the quadratic trinomial when a = negative half
• 20. For a binomial trinomial expression with only the letter A, the coefficients of its quadratic and primary terms are - 1. The constant term is the negative reciprocal of 1 / 2. What is the binomial trinomial expression? A quadratic trinomial formula with only the letter A, its coefficients of quadratic and primary terms are - 1. The constant term is the negative reciprocal of 1 / 2. What is the quadratic trinomial formula?