确定m的值,使多项式f(x)=x^5+3x^4+8x^3+11x+m能被x+2整除
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![确定m的值,使多项式f(x)=x^5+3x^4+8x^3+11x+m能被x+2整除](/uploads/image/z/2116497-57-7.jpg?t=%E7%A1%AE%E5%AE%9Am%E7%9A%84%E5%80%BC%2C%E4%BD%BF%E5%A4%9A%E9%A1%B9%E5%BC%8Ff%28x%29%3Dx%5E5%2B3x%5E4%2B8x%5E3%2B11x%2Bm%E8%83%BD%E8%A2%ABx%2B2%E6%95%B4%E9%99%A4)
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确定m的值,使多项式f(x)=x^5+3x^4+8x^3+11x+m能被x+2整除
确定m的值,使多项式f(x)=x^5+3x^4+8x^3+11x+m能被x+2整除
确定m的值,使多项式f(x)=x^5+3x^4+8x^3+11x+m能被x+2整除
f(x)=x^5+3x^4+8x^3+11x+m
=(x^5+2x^4)+(x^4+2x^3)+(6x^3+12x^2)-(12x^2+24x)+(35x+70)+(m-70)
=x4(x+2)+x^3(x+2)+6x^2(x+2)-12x(x+2)+35(x+2)+m-70
因此,要f(x)能被x+2整除,需要m-70=0
=>m=70