Respuesta :
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
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
