Answer:
(3x − 4) (x − 2)
Step-by-step explanation:
Factor ax² + bx + c using the AC rule:
1) Multiply a and c.
2) Find factors of ac that add up to b.
3) Divide those factors by a and reduce the fractions.
4) The numerators become the constants, and the denominators become the coefficients.
Here, a = 3, b = -10, and c = 8.
1) ac = 24
2) Factors of 24 that add up to -10 are -4 and -6.
3) -4/3, -6/3 = -2/1
4) 3x − 4 and x − 2
Therefore, the factorization of 3x² − 10x + 8 is:
(3x − 4) (x − 2)
