Posted by ayrajudelle on Sunday, July 24, 2011 at 9:48am.
what is the factor of a^3  2a + 4?
please help me guys. :(

math  MathMate, Sunday, July 24, 2011 at 10:28am
Hint:
A cubic has to have at least one zero.
If the expression has rational factors, there would be at least one linear factor fininishing in 1,2,4 or 1,2,4, since the coefficient of a^3 is 1.
For f(a)=a^3  2a + 4
So check f(1),f(2),... and which factor is in f(a). Do a long division and try to factor the remaining quadratic.

math  MathMate, Sunday, July 24, 2011 at 10:32am
Sorry, the last paragraph is not clear.
If f(a0)=0, then (xa0) is a factor of f(a). So check and see which of f(1),f(2)...=0 and hence find a rational factor of f(a).
If f(1)=0, then (a+1) is a factor.
Do a long division and factor the remaining quadratic.
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