Question

if m + 4 is one of the factors of 2 m 2 + 5 m -12 what is the other factor​

Answer 1

Answer:

You know that the first term of the factor must be 2m in order to get 2m2 in your final answer. Similarly, to get the -12 by multiplying the last two terms, the second term must be -3. So all that is left is to check the middle term: (2m-3)((m+4) gives a middle term of 4(2m)+(-3)(m)=8m-3m=5m. So the other factor is definitely (2m-3).

Answer 2

2m^2+5m-12
2m^2+8m-3m-12
2m(m+4)-3(m+4)
(M+4) (2m-3)
So, other factor is (2m-3)