Answer:
(m − 3) (m + 2)
Explanation:
m² − m − 6
To factor a quadratic ax² + bx + c, you can use the AC method.
1. Multiply a and c.
2. Find factors of ac that add up to b.
3. Divide the factors by a and reduce.
4. The denominators are the coefficients, the numerators are the constants.
Here, a = 1, b = -1, and c = -6.
1. ac = -6
2. Factors of -6 that add up to -1 are -3 and 2.
3. -3/1, 2/1
4. Factors are m − 3 and m + 2.
m² − m − 6 = (m − 3) (m + 2)