📐 Factoring Trinomials Calculator
Factor trinomials of the form ax² + bx + c
ax² + bx + c
How to Use This Calculator
Enter Coefficients
Type a, b, and c for ax² + bx + c.
Click Factor
See the diamond solution to help factor the trinomial.
Method
Use the diamond problem to find factors
Example: Factor x² + 7x + 12
Diamond: top = 7, bottom = 1 × 12 = 12
Find two numbers: m + n = 7, m × n = 12
Solution: m = 3, n = 4 (or vice versa)
Factor: (x + 3)(x + 4)
About Factoring Trinomials Calculator
The Factoring Trinomials Calculator helps factor quadratic trinomials using the diamond method. This finds two numbers that solve the diamond problem, which are the key to factoring the trinomial into binomials.
When to Use This Calculator
- Factoring Practice: Learn to factor quadratics
- Homework Help: Solve factoring problems
- Verification: Check your factoring work
Tips
- Works best when a = 1 (simple case)
- Check if it's a perfect square trinomial first
- Practice with different examples to learn patterns
Frequently Asked Questions
What if a ≠ 1?
For coefficients other than 1, use the diamond method to find factors of a×c that add to b, then group and factor by grouping.
What if no factors are found?
The trinomial may not factor over integers, or you may need to use the quadratic formula to find solutions.