# Algebra 1b

posted by .

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 -

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.

## Similar Questions

1. ### Math

Can somebody please explain to me how to factor trinomials that contain two unknown variables and are complex sum & product?
2. ### 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?
3. ### 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?
4. ### 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?
5. ### 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?
6. ### 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?
7. ### 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?
8. ### 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?
9. ### 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?
10. ### algebra

Please Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c in words.

More Similar Questions