【1usethefactortheremtofactorisethefollowingcubicsasfaraspossible:f(x)=x(的三次方)-7x+62findagiventhat(x+4)isafactoroff(x)=x(的三次方)+8x^+ax+12andhencefactorisef(x)completely.3showthat(x-2)isafactoroff(x)=x的】
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问题描述：
1
usethefactortheremtofactorisethefollowingcubicsasfaraspossible:
f(x)=x(的三次方)-7x+6
2
findagiventhat(x+4)isafactoroff(x)=x(的三次方)+8x^+ax+12andhencefactorisef(x)completely.
3
showthat(x-2)isafactoroff(x)=x的三次方-4x^+x+6andhencesolvef(x)=0.
4
findthethreesolutionstoeachofthefollowingequations
10x的三次方-29x^+25x-6=0
5
theexpressionax^+bx+6hasremainder15whendividedby(x-1)andremainder1whendividedby(x+1).findthevaluesofaandb.
6
giventhat(x^-1)isafactorofx的三次方+ax^+bx-4,findthevaluesofaandb
孙钦东回答：
-5/2(a-3)除以16/a-3+(a+3)a-5/2(a-3)除以16/a-3+（a+3)(a-3)/(a-3)a-5/2(a-3)除以(16+a^2-9)/(a-3)a-5/2(a-3)除以(7+a^2)/(a-3)a-5/2(a-3))乘以(a-3)/(7+a^2)(a-5)/2(7+a^2)
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