Question

How do you Factorize quadratic expressions​

Answer 1

Step-by-step explanation:

For a quadratic ax² + bx + c, you can factor using the AC method.

1. First, multiply a and c.
2. Next, find factors of ac that add up to b.
3. Divide the factors by a.  Reduce if possible.
4. 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:

1. ac = 2×3 = 6
2. Factors of 6 that add up to 7 are 1 and 6.
3. Divide by a: 1/2 and 6/2 = 3/1
4. (2x + 1) (x + 3)