Considering the polynomial, ,
Show that the third factor of P(x) is always positive. The other two factors are and . Hence find the set values of x such that P(x)>0
If the leading term of an irreducible quadratic function q(x) is positive then q(x) > 0 for all x.
If the leading term of an irreducible quadratic function q(x) is negative then q(x) < 0 for all x.
The only thing that can make p(x) negative is the factor ....