AC method for factoring

This method helps to factorize trinomials to obtain a product of two binomials. The approach is to find a suitable split of the middle part of the trinomial. If your trinomial is Ax² + Bx + C, you need to solve the following equations:

To get the pq you have to go like this:

1) ?1 • ?2 = A • C
2) ?1 + ?2 = B

A, B and C are known quantities. ?1 and ?2 are unknown.

After finding the unknown quantities it is necessary to reorganize the trinomial by splitting the middle part. Then you have to group and factorize the resulting binomials.

The last step is using the distributive law to transform the addition of the factorized binomials into a product of binomials.

Don’t worry. Start the example calculation and you will understand it. The calculator will show everything in detail.

Wie man den Taschenrechner benutzt

Enter values for a, b and c in all text fields. The buttons on the left side show the possible symbols you can enter.

To calculate the result with your input press the "="-button.

Was macht er genau?

Es kann einige Sekunden dauern, bis das Ergebnis angezeigt wird.

1. Fügt deine Werte ein.
2. Solves the equations of A • C and B.
3. Splits the middle part of the trinomial.
4. Reorganizes the trinomial.
5. Shows the usage of the distributive law to complete the factoring.