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| 2017/06/17 10:45:21瀏覽48｜回應0｜推薦0 | |
| 標題: 數學~因式分解
此文章來自奇摩知識+如有不便請留言告知 發問:1 6x^2-13x-28 2 2a^3-54 3 x^3+y^3+3x^2y+3xy^2 4 2a^2-3a+54 5 p^2-4q^2-p+2q 最佳解答: 1 6x^2-13x-28 =(2x-7)(3x+4) 2 2a^3-54 =2(a^3-3^3) =2(a-3)(a^2+3a+9) 3 x^3+y^3+3x^2y+3xy^2 =(x+y)(x^2-xy+y^2)+3xy(x+y) =(x+y)(x^2-+y^2+2xy) 4 2a^2-3a+54 Cannot be factorised as discriminant=(-3)^2-4(2)(54)=-423 < 0 5 p^2-4q^2-p+2q =(p-2q)(p+2q)-(p-2q) =(p-2q)(p+2q-1) 其他解答: 1. (3x+4)(2x-7) 2. 2(a-3)(a^2+3a+9) 3. (x+y)^3 4. (2a+9)(a-6) 5. (p-2q)(p+2q-1) |
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