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F.3 Exercise on Factorization (20 marks)

發問:

1.-5x2 -45x 2.x2+8x-9 3.-2x2-18x 4.3x2+36x+81 5.8x2+104x+288 6.-x2-7x+18 7.-3x2-39x-108 8.-3x2-9x+162 9.2x2+30x+108 10.4x2+72x+324 11.-7x2-912-252 12.-8x2-24x+632 13.-4x2-32x+36 14.6x2+0x-486 15.x2+14x+45 16.4x2+64x+252 17.5x2+20x-225 18.-4x2+ -48x-108 19.-2x2-38x-180 20.x2+13x+36

最佳解答:

1.-5x -45x = -5x(x+9) 2.x+8x-9 = (x+9)(x-1) 3.-2x-18x = -2x(x+9) 4.3x+36x+81 = 3(x+3)(x+9) 5.8x+104x+288 = 8(x+4)(x+9) 6.-x-7x+18 = (x+9)(2-x) 7.-3x-39x-108 = -3(x+4)(x+9) 8.-3x-9x+162 = -3(x+9)(x-6) 9.2x+30x+108 = 2(x+6)(x+9) 10.4x+72x+324 = 4(x+9) 11.-7x-91-252 = -7(x+9)(x+4) 12.-8x-24x+632 = -8[x(x+3)-79] 13.-4x-32x+36 = -4(x-1)(x+9) 14.6x+0x-486 = 6(x-9) 15.x+14x+45 = (x+5)(x+9) 16.4x+64x+252 = 4(x+7)(x+9) 17.5x+20x-225 = 5(x-5)(x+9) 18.-4x+ -48x-108 = -4(x+9)(x+3) 19.-2x-38x-180 = -2(x+10)(x+9) 20.x+13x+36 = (x+4)(x+9)

其他解答:

1.-5x -45x = -5x (x+9)// 2.x+8x-9 = (x-1)(x+9)// 3.-2x-18x = -2x(x+9)// 4.3x+36x+81 = 3(x+3)(x+9)// 5.8x+104x+288 = 8(x+4)(x+9)// 6.-x-7x+18 = -(x+9)(x-2)// 7.-3x-39x-108 = -3(x+4)(x+9)// 8.-3x-9x+162 = -3(x-9)(x+6)// 9.2x+30x+108 = 2(x+9)(x+6)// 10.4x+72x+324 = 4(x+9)// 11.-7x-91-252 = -7(x+4)(x+9)// 12.-8x-24x+632 = -8(x+3x-79)// 13.-4x-32x+36 = -4(x-9)(x+1)// 14.6x+0x-486 = 6(x - 81) = 6(x-9)(x+9)// 15.x+14x+45 = (x+9)(x+5)// 16.4x+64x+252 = 4(x+7)(x+9)// 17.5x+20x-225 = 5(x+9)(x-5)// 18.-4x+-48x-108 係咪打錯... 如果係-48x... = -4(x+3)(x+9)// 如果係 +48x = -4(x-3)(x-9)// 19.-2x-38x-180 = -2(x+10)(x+9)// 20.x+13x+36 = (x+4)(x+9)//|||||用fx-3650 or 3690 計算機的話, 可down 一些cross method的programme...

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