Which one of the following two binomial factors of 6s2+40s-64

Factor 6 s2 + 40s - 64 6 s2 + 40s - 64 = 2 (3s - 4) (s+8)

To factor this we could use the ac method

we can first take out 2:-

f (s) = 2 (3s^2 + 20s - 32)

3 * - 32 = - 96

so we look for factors of - 96 that also add up to + 20 and one must be negative

24 and - 4 look good

so we write

f (s) = 2 (3s^2 + 24s - 4s - 32)

= 2 (3s (s + 8) - 4 (s + 8))

= 2 (s + 8) (3s - 4)

theres your factors