Posted by **Yolonda** on Thursday, November 29, 2012 at 12:45pm.

Explain how to factor the following trinomials forms: x² + bx + c and ax² + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical notation.

- Algebra 1b -
**Yolonda**, Thursday, November 29, 2012 at 8:50pm
Let's factor the trinomial x² + bx + c. We know that if b²-4c >= 0 then this trinomial has zeros and it can be factorized. It's zeros are

x1 = [ -b + √(b²-4c) ] / 2

and

x2 = [ -b - √(b²-4c) ] / 2.

So, we can factor it as

x² + bx + c = (x-x1)(x-x2).

In a case of trinomial ax² + bx + c we can factorize it as

ax² + bx + c = a(x² + b/a·x + c/a),

where the trinomial x² + b/a·x + c/a has the same form as x² + bx + c.

**Answer this Question**

**Related Questions**

- Algebra - Explain how to factor the following trinomials forms: x2 + bx + c and ...
- Algebra....HELP!! - Explain how to factor the following trinomials forms: x2 + ...
- algebra - Explain how to factor the following trinomials forms: x2 + bx + c and ...
- algebra - Explain how to factor the following trinomials forms: x2 + bx + c and ...
- ALGEBRA - Could you explain how to factor the following trinomials : x2 + bx + c...
- math - Explain how to factor the following trinomial forms: x² + bx + c and ax...
- algebra2 - Can you explain how to factor the following trinomials forms: x2 + bx...
- ALG@ NEED HELP PLEASE - Explain how to factor the following trinomials forms: x2...
- algebra - Please Explain how to factor the following trinomials forms: x2 + bx...
- Math - Can somebody please explain to me how to factor trinomials that contain ...