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1
use the factor therem to factorise the following cubics as far as possible:
f(x)=x(的三次方)-7x+6
2
find a given that (x+4) is a factor of f(x)=x(的三次方)+8x^+ax+12 and hence factorise f(x) completely.
3
show that (x-2) is a factor of f(x)=x的三次方-4x^+x+6 and hence solve f(x)=0.
4
find the three solutions to each of the following equations
10x的三次方-29x^+25x-6=0
5
the expression ax^+bx+6 has remainder 15 when divided by (x-1) and remainder 1 when divided by (x+1).find the values of a and b.
6
given that (x^-1)is a factor of x的三次方+ax^+bx -4 ,find the values of a and b