Answer:
(2x + 5) (x + 3)
Step-by-step explanation:
Use the AC method. To factor ax² + bx + c:
- Multiply a and c
- Find factors of ac that add up to b
- Divide each factor by a and reduce the fractions
- The numerators are the constants, the denominators are the coefficients
In this case, a = 2, b = 11, and c = 15.
- ac = 2 × 15 = 30
- Factors of 30 that add up to 11 are 5 and 6
- Divide by a and reduce: 5/2 and 6/2 = 3/1
- Factors are 2x + 5 and x + 3
Therefore:
2x² + 11x + 15 = (2x + 5) (x + 3)
