Answer:
(3x + 1) (2x + 1)
Explanation:
ax² + bx + c can be factored using the AC method:
1. Multiply a and c.
2. Find factors of ac that add up to b.
3. Divide each factor by a; reduce the fractions.
4. The denominator is the coefficient, the numerator is the constant.
6x² + 5x + 1
1. ac = 6 × 1 = 6
2. Factors of 6 that add up to 5: 2 and 3.
3. 2/6 = 1/3, and 3/6 = 1/2
4. The factors are 3x+1 and 2x+1.
6x² + 5x + 1 = (3x + 1) (2x + 1)