Step-by-step explanation:
For a quadratic ax² + bx + c, you can factor using the AC method.
- First, multiply a and c.
- Next, find factors of ac that add up to b.
- Divide the factors by a. Reduce if possible.
- The numerator of the fraction becomes the constant. The denominator of the fraction becomes the coefficient.
For example:
2x² + 7x + 3
Here, a = 2, b = 7, and c = 3. Using AC method:
- ac = 2×3 = 6
- Factors of 6 that add up to 7 are 1 and 6.
- Divide by a: 1/2 and 6/2 = 3/1
- (2x + 1) (x + 3)
