x^2 + bx+c and ax^2+bx+c

Question

Explain how to factor the following trinomial form both in written and showing how to get answer

Answer 1

First factor x²+bx+c by itself.   Then factor ax²+bx+c by itself.  Lastly, multiply those factors all together.  Since a trinomial is a product of 2 binomials, you will end up multiplying 4 binomials.

 

 

Also when factoring one trinomial, you need to find two numbers q and r.

 

c = q*r

b = q+r

 

You find these numbers by guess and check.

 

Your factor form of one trinomial will be  (x+q)(x+r)