Question

An equation has solutions of m = –5 and m = 9. Which could be the equation? (m + 5)(m – 9) = 0 (m – 5)(m + 9) = 0 m2 – 5m + 9 = 0 m2 + 5m – 9 = 0

Answer 1

The answer is the first choice (m+5)(m-9)=0

Answer 2

Answer: Option 1 is correct that is (m+5)(m-9)

Explanation:

We can answer the given question from "Zero Product Property".

whenever we have have factors comes out to be suppose (x-2) we will equate  it  to zero and we get  x= -2 hence in given question we have to write in the converse form

we can see if we will equate (m+5) = 0 then only we will get m = -5

and (m-9) =0 then only m = 9

So, its just that you have to take opposite sign inside the bracket that is given with the root.

Option 2,3 and 4 are incorrect because of the reason mentioned above.

Hence, Option 1 is correct