a) Explain why f has no real roots, and why this means f mustfactor as a product of two ireducible quadratics.
b) Factor f and find all of its complex roots.
a) For the roots,
But there is no real number ehose even power gives negative real number which means f has no real roots.
Futher since f has no real roots so f does not have any linear factors.
Therefore f must factor as a product of two irreducible qudratics.
For the roots.
Therefore the comlex roots are,
Solve the quadratic by using the quadratic formula