Question

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

Answer 1

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

Answer 2

Factor 6s2+40s−646s2+40s−64=2(3s−4)(s+8)