Question

Factor 6a2 - 23a - 4.

Answer 1

Answer:

(6 a + 1) (a - 4)

Step-by-step explanation:

Factor the following:

6 a^2 - 23 a - 4

Factor the quadratic 6 a^2 - 23 a - 4. The coefficient of a^2 is 6 and the constant term is -4. The product of 6 and -4 is -24. The factors of -24 which sum to -23 are 1 and -24. So 6 a^2 - 23 a - 4 = 6 a^2 - 24 a + a - 4 = a (6 a + 1) - 4 (6 a + 1):

a (6 a + 1) - 4 (6 a + 1)

Factor 6 a + 1 from a (6 a + 1) - 4 (6 a + 1):

Answer:  (6 a + 1) (a - 4)