factoring

Question

factoring

anonymous · Answer

write a four term polynomial that you can factor by grouping. factor your polynomial.

mathstudent55 · Answer

Hint:
Start with three binomials. Multiply them together. Then you know for sure you can factor the resulting 3rd degree polynomial.

anonymous · Answer

i still dont understand it though??? @mathstudent55

mathstudent55 · Answer

The first step is to come up with a four term polynomial that is factorable.

If you have a 4-term polynomial, the smallest degree you can have is 3rd degree.

It'll be something similar to this:

3x^3 + 4x^2 - 2x + 5

Ok so far?

anonymous · Answer

yeah i think..

mathstudent55 · Answer

Ok, the polynomial above is only a random example. I doubt it is factorable.
Since now you know you need a third degree polynomial, there is a way to make sure it is factorable.
Start by coming up with 3 first degree binomials at random.
Then multiply them together.
Then you k now the resulting 3rd degree polynomial is definitely factorable.

Examples of first degree binomials are:
x + 2, 2x - 1, 3x + 5, -2x + 5