Algebra 1b
posted by Yolonda .
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.

Let's factor the trinomial x² + bx + c. We know that if b²4c >= 0 then this trinomial has zeros and it can be factorized. It's zeros are
x1 = [ b + √(b²4c) ] / 2
and
x2 = [ b  √(b²4c) ] / 2.
So, we can factor it as
x² + bx + c = (xx1)(xx2).
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.
Respond to this Question
Similar Questions

Math
Can somebody please explain to me how to factor trinomials that contain two unknown variables and are complex sum & product? 
math
Explain how to factor the following trinomial forms: x² + bx + c and ax² + bx + c. Is there more than one way to factor these? 
algebra2
Can you explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Can there be more than one way to factor a problem like this? 
ALGEBRA
Could you explain how to factor the following trinomials : x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? 
ALG@ NEED HELP PLEASE
Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. I am totally lost still I read and read and the concept is lost in my head. Can someone please help me? 
algebra
Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? 
algebra
Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? 
Algebra....HELP!!
Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? 
Algebra
Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? 
algebra
Please Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c in words.