3x & # 179; + 12x & # 178; - 36x factorization

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• 1. Factorization: 3x ^ 2-36x + 60 =?
• 2. Please try to explain that when k is a value, the polynomial x ^ 2-x + K has a factor X + 2 ! don't copy and paste
• 3. Given that the polynomial (a + 3) x ^ 3-2x ^ 2Y + y ^ 2 - (5x ^ 3 + y ^ 2 + 1) does not contain x ^ 3 term, calculate the value of a ^ 3-2a ^ 2 + 4a-1
• 4. It is known that two α, β of the quadratic equation anx2 − an + 1x + 1 = 0 (n ∈ n *) of X satisfy 6 α - 2 α β + 6 β = 3, and A1 = 1. (1) use an to express an + 1; (2) find the general term formula of sequence an; (3) find the first n term and Sn of sequence {an} and the value range of Sn
• 5. A mathematical problem of circle The equation of the circle passing through point a (2, - 2) B (5,3) C (3, - 1), and the center and radius of the circle are obtained
• 6. The solution of 5x square - 8x + 2 = 0 by public trial method I don't understand the following answer. I hope someone is answering. I hope it's not as complicated as the following
• 7. X ^ 2 + 3xy = 28, XY + 4Y ^ 2 = 8 to solve special type equations
• 8. U = f (UX, V + y), v = g (U-V, V & # 178; y), F, g have first order continuous partial derivatives, find δ U / δ x, δ V / δ X. find the detailed explanation
• 9. U = x (Z + y) z = sin (x + y) finding the second order partial derivative σ 2U / σ x σ y
• 10. Finding the partial derivative of Z to Y: z = (1 + XY) ^ y
• 11. Decomposition factor: - 9x ^ (n + 1) - 6x ^ n + 3x ^ (n-1)
• 12. Prove that the equation 2mx square-3 (M + 2) x + m + 4 = 0 (M is a real number) must have a real root
• 13. If the square of 9x + XY + my is a complete square, then M =?
• 14. Try to explain: no matter what value x takes, the value of polynomial (2x & # 179; + 5x & # 178; + 4x-3) - (- X & # 178; + 3x & # 179; - 3x-1) + (4-7x-6x & # 178; + X & # 179;) will not change Try to explain: no matter what value x takes, the value of polynomial (2x & # 179; + 5x & # 178; + 4x-3) - (- X & # 178; + 3x & # 179; - 3x-1) + (4-7x-6x & # 178; + X & # 179;) will not change Be quick
• 15. When Xiaojun calculates the polynomial (x ^ 2 + MX + n) (x ^ 2-4x), he finds that the expansion does not contain x ^ 3 and x ^ 2. He tries to find the value of M and n
• 16. If the solution of the equation (2x + a) / 3 = (4x + b) / 5 of X is not negative, then the ratio of a to B Is it 3 / 5? Cry for
• 17. 4X & # 178; - 12xy + K & # 178; Y & # 178; is the value of K in the complete square formula
• 18. If 4x ^ 2 + 2 (M + 3) x + 25 is a complete square, then M =?
• 19. If the polynomial of x-4x ^ 3-2mx ^ 2 + 2x ^ 2-5 is a cubic trinomial, then M satisfies the condition () A.m=-1 B.m≠1 C.m=1 D.m≠1
• 20. If 4x ^ 2 + 2mx + 1 is a complete square, what is the value of M