按乘幂展开多项式是什么意思
将一个多项式按照乘幂的形式进行展开，即将其中的每个项按照指数进行展开。在数学中，按乘幂展开多项式是一种常用的技巧，可以帮助更好地理解和分析多项式的结构。通过按乘幂展开多项式，可以更好地了解多项式的项之间的关系，从而更容易地解决某些数学问题。
绛旓細灏唂(x)=x^4-5x^3+x^2-3x+4鎸塜-4鐨涔樺箓灞曞紑:鍏堟眰鍑哄悇闃跺鏁 f'(x)=4x^3-15x^2+2x-3.f''(x)=12x^2-30x+2.f'''(x)=24x-30 f'''(x)=24.f'''(x)=0(鐢辨鍙煡,灞曞紑鍚,浣欓」涓0,涔熷氨鏄,杩欐槸鏃犺宸睍寮.)鍐嶆眰鍑轰笅鍒楁暟鎹:f(4)=-56,f'(4)=21,f''(4)=74,...
绛旓細灏唂(x)=x^4-5x^3+x^2-3x+4鎸塜-4鐨涔樺箓灞曞紑:鍏堟眰鍑哄悇闃跺鏁 f'(x)=4x^3-15x^2+2x-3.f''(x)=12x^2-30x+2.f'''(x)=24x-30 f'''(x)=24.f'''(x)=0(鐢辨鍙煡,灞曞紑鍚,浣欓」涓0,涔熷氨鏄,杩欐槸鏃犺宸睍寮.)鍐嶆眰鍑轰笅鍒楁暟鎹: f(4)=-56,f'(4)=21,f''(4)=74...
绛旓細灏唂(x)=x^4-5x^3+x^2-3x+4鎸塜-4鐨涔樺箓灞曞紑:鍏堟眰鍑哄悇闃跺鏁 f'(x)=4x^3-15x^2+2x-3.f''(x)=12x^2-30x+2.f'''(x)=24x-30 f'''(x)=24.f'''(x)=0(鐢辨鍙煡,灞曞紑鍚,浣欓」涓0,涔熷氨鏄,杩欐槸鏃犺宸睍寮.)鍐嶆眰鍑轰笅鍒楁暟鎹: f(4)=-56,f'(4)=21,f''(4)=74...
绛旓細-56+21(x-4)+37(x-4)^2+11(x-4)^3+(x-4)^4銆傚垎鏋愯繃绋嬪涓嬶細灏唂(x)=x^4-5x^3+x^2-3x+4鎸塜-4鐨涔樺箓灞曞紑:鍏堟眰鍑哄悇闃跺鏁般俧'(x)=4x^3-15x^2+2x-3.f''(x)=12x^2-30x+2.f'''(x)=24x-30 f'''(x)=24.f'''(x)=0 鍐嶆眰鍑轰笅鍒楁暟鎹:f(4)=-56,f'(4)=...
绛旓細璇 鏍规嵁灏嗕竴涓澶氶」寮忔寜鍙︿竴涓椤瑰紡鐨涔樺箓灞曞紑鐨勬硶鍒欙紝鍙皢A(x)鎸塒(x)鐨勪箻骞傚睍寮锛庡洜涓篈(x)鐨勬鏁板皬浜嶱n(x)鐨勬鏁帮紝鎵浠(x)鍙敮涓鍦拌〃绀轰负 A(x)=r0(x)锛媟1(x)P(x)锛媟2(x)P2(x)锛嬧︼紜rn-1(x)Pn-1(x)锛岃繖閲岀殑r0(x)锛宺1(x)锛屸︼紝rn-1(x)鐨勬鏁伴兘姣擯(x)鐨勬鏁板皬锛屽叾涓...
绛旓細璇 鏍规嵁灏嗕竴涓澶氶」寮忔寜鍙︿竴涓椤瑰紡鐨涔樺箓灞曞紑鐨勬硶鍒欙紝鍙皢A(x)鎸塒(x)鐨勪箻骞傚睍寮锛庡洜涓篈(x)鐨勬鏁板皬浜嶱n(x)鐨勬鏁帮紝鎵浠(x)鍙敮涓鍦拌〃绀轰负 A(x)=r0(x)锛媟1(x)P(x)锛媟2(x)P2(x)锛嬧︼紜rn-1(x)Pn-1(x)锛岃繖閲岀殑r0(x)锛宺1(x)锛屸︼紝rn-1(x)鐨勬鏁伴兘姣擯(x)鐨勬鏁板皬锛屽叾涓...
绛旓細鏍规嵁灏嗕竴涓澶氶」寮忔寜鍙︿竴涓椤瑰紡鐨涔樺箓灞曞紑鐨勬硶鍒欙紝鍙皢A(x)鎸塒(x)鐨勪箻骞傚睍寮锛庡洜涓篈(x)鐨勬鏁板皬浜嶱n(x)鐨勬鏁帮紝鎵浠(x)鍙敮涓鍦拌〃绀轰负 A(x)=r0(x)锛媟1(x)P(x)锛媟2(x)P2(x)锛嬧︼紜rn-1(x)Pn-1(x)锛岃繖閲岀殑r0(x)锛宺1(x)锛屸︼紝rn-1(x)鐨勬鏁伴兘姣擯(x)鐨勬鏁板皬锛屽叾涓篃...
绛旓細璇 鏍规嵁灏嗕竴涓澶氶」寮忔寜鍙︿竴涓椤瑰紡鐨涔樺箓灞曞紑鐨勬硶鍒欙紝鍙皢A(x)鎸塒(x)鐨勪箻骞傚睍寮锛庡洜涓篈(x)鐨勬鏁板皬浜嶱n(x)鐨勬鏁帮紝鎵浠(x)鍙敮涓鍦拌〃绀轰负 A(x)=r0(x)锛媟1(x)P(x)锛媟2(x)P2(x)锛嬧︼紜rn-1(x)Pn-1(x)锛岃繖閲岀殑r0(x)锛宺1(x)锛屸︼紝rn-1(x)鐨勬鏁伴兘姣擯(x)鐨勬鏁板皬锛屽叾涓...
绛旓細璇 鏍规嵁灏嗕竴涓澶氶」寮忔寜鍙︿竴涓椤瑰紡鐨涔樺箓灞曞紑鐨勬硶鍒欙紝鍙皢A(x)鎸塒(x)鐨勪箻骞傚睍寮锛庡洜涓篈(x)鐨勬鏁板皬浜嶱n(x)鐨勬鏁帮紝鎵浠(x)鍙敮涓鍦拌〃绀轰负 A(x)=r0(x)锛媟1(x)P(x)锛媟2(x)P2(x)锛嬧︼紜rn-1(x)Pn-1(x)锛岃繖閲岀殑r0(x)锛宺1(x)锛屸︼紝rn-1(x)鐨勬鏁伴兘姣擯(x)鐨勬鏁板皬锛屽叾涓...
绛旓細閮ㄥ垎鍒嗗紡鍒嗚В鎴栭儴鍒嗗垎寮灞曞紑锛屾槸灏嗘湁鐞嗗嚱鏁板垎瑙ｆ垚璁稿娆℃暟杈冧綆鏈夌悊鍑芥暟鍜岀殑褰㈠紡锛屾潵闄嶄綆鍒嗗瓙鎴栧垎姣澶氶」寮鐨勬鏁般傚垎瑙ｅ悗鐨勫垎寮忛渶婊¤冻浠ヤ笅鏉′欢锛氬垎寮忕殑鍒嗘瘝闇涓轰笉鍙害澶氶」寮忥紙irreducible polynomial锛夋垨鍏涔樺箓銆傚垎寮忕殑鍒嗗瓙澶氶」寮忔鏁伴渶姣斿叾鍒嗘瘝澶氶」寮忔鏁拌浣庛傜敱鎷夋牸鏈楁棩鎻掑煎叕寮忓彲鎺ㄥ嚭鍖栨湁鐞嗙湡鍒嗗紡涓洪儴鍒嗗垎寮忕殑...
