1.设三次多项式f(x),f(2)=f(-1)=f(4)=3 ,f(1)=-9,则求f(0)2若三次多项式g(x)的g(-1)=g(0)=g(2)=0,g(1)=4,试问(1)g(x)=_________.(2)若多项式h(x)=x^4-x^2+1,则3g(x)-4h(x)被x-1除的余式为______________3.二次多项式f(x),f(1998)=
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![1.设三次多项式f(x),f(2)=f(-1)=f(4)=3 ,f(1)=-9,则求f(0)2若三次多项式g(x)的g(-1)=g(0)=g(2)=0,g(1)=4,试问(1)g(x)=_________.(2)若多项式h(x)=x^4-x^2+1,则3g(x)-4h(x)被x-1除的余式为______________3.二次多项式f(x),f(1998)=](/uploads/image/z/12572720-8-0.jpg?t=1.%E8%AE%BE%E4%B8%89%E6%AC%A1%E5%A4%9A%E9%A1%B9%E5%BC%8Ff%28x%29%2Cf%282%29%3Df%28-1%29%3Df%284%29%3D3+%2Cf%281%29%3D-9%2C%E5%88%99%E6%B1%82f%280%292%E8%8B%A5%E4%B8%89%E6%AC%A1%E5%A4%9A%E9%A1%B9%E5%BC%8Fg%28x%29%E7%9A%84g%28-1%29%3Dg%280%29%3Dg%282%29%3D0%2Cg%281%29%3D4%2C%E8%AF%95%E9%97%AE%EF%BC%881%EF%BC%89g%28x%29%3D_________.%282%29%E8%8B%A5%E5%A4%9A%E9%A1%B9%E5%BC%8Fh%28x%29%3Dx%5E4-x%5E2%2B1%2C%E5%88%993g%28x%29-4h%28x%29%E8%A2%ABx-1%E9%99%A4%E7%9A%84%E4%BD%99%E5%BC%8F%E4%B8%BA______________3.%E4%BA%8C%E6%AC%A1%E5%A4%9A%E9%A1%B9%E5%BC%8Ff%28x%29%2Cf%281998%29%3D)
1.设三次多项式f(x),f(2)=f(-1)=f(4)=3 ,f(1)=-9,则求f(0)2若三次多项式g(x)的g(-1)=g(0)=g(2)=0,g(1)=4,试问(1)g(x)=_________.(2)若多项式h(x)=x^4-x^2+1,则3g(x)-4h(x)被x-1除的余式为______________3.二次多项式f(x),f(1998)=
1.设三次多项式f(x),f(2)=f(-1)=f(4)=3 ,f(1)=-9,则求f(0)
2若三次多项式g(x)的g(-1)=g(0)=g(2)=0,g(1)=4,试问(1)g(x)=_________.(2)若多项式h(x)=x^4-x^2+1,则3g(x)-4h(x)被x-1除的余式为______________
3.二次多项式f(x),f(1998)=1,f(1999)=2,f(2000)=7,则求f(2002)
4.求以x^8+x^4+1除x^12+99的余式
1.设三次多项式f(x),f(2)=f(-1)=f(4)=3 ,f(1)=-9,则求f(0)2若三次多项式g(x)的g(-1)=g(0)=g(2)=0,g(1)=4,试问(1)g(x)=_________.(2)若多项式h(x)=x^4-x^2+1,则3g(x)-4h(x)被x-1除的余式为______________3.二次多项式f(x),f(1998)=
因为三次多项式g(x)的g(-1)=g(0)=g(2)=0,故-1,0,2是g(x)的零点
设g(x)=Ax(x+1)(x-2),由g(1)=4,代入得:A=-2
所以:g(x)=-2x(x+1)(x-2)
3g(x)-4h(x)被x-1除的余式为常数:3g(1)-4h(1)=12-4=8