Math 8

1. Factoring
Regular
Trinomial
JOHN-REY B. MANZANO
Subject Teacher

2. Case 5: Factoring General
Trinomial
The factors of general trinomial
are two binomials.
Factoring general trinomial is the
reverse process of getting the
product of two binomials

3. Case 5: Factoring General Trinomial
Procedure (Trial and Error Method):
1. Factor out first by common monomial
factor if it is possible.
2. Factor the first term
3. Factor the last term
4. Check if the factors are correct

4. Case 5: Factoring General Trinomial
Checking:
 To check if the factors are correct:
1. Recall FOIL Method
2. Get the sum of the product of the outer
and inner terms. The result must be equal
to the second term of the given trinomial.
3. If the result is not equal to the second term
of the given trinomial, then try the other
factors.

5. Case 5: Factoring General Trinomial
A. Factoring General Trinomial in a form of
x2 + bx + c where b and c are real numbers
Pattern
+ –
Factors are like sign Factors are unlike sign
Add Subtract

6. Case 5: Factoring General Trinomial
Example: Factor the following trinomials
1. x2 + 6x + 9
2. x2 – 5x + 6
3. x2 + 11x + 10
4. x2 – 7x + 12
5. x2 + 16x + 15
6. x2 + 8x – 9
7. x2 – x – 12
8. x2 + 8x – 20