Factor the four-term polynomial.

mn - 15 + 3m - 5n

(m + 3)(n - 5)
(n - 3)(m - 5)
(n + 3)(m - 5)

Option (c) is correct.

The factored form of four term polynomial  mn - 15 + 3m - 5n is  (m- 5)(n + 3)  

Step-by-step explanation:

Given  a four term polynomial as  mn - 15 + 3m - 5n

We have to factorize the given polynomial  mn - 15 + 3m - 5n.

Consider the given polynomial  mn - 15 + 3m - 5n

factorization is the process of writing an expression in  factors  such that when we multiply them we get back the same expression.

Consider  mn - 15 + 3m - 5n

We factorize it by grouping terms,

Grouping term is the rearrangement of term such that we can take some term common.

We will interchange - 15 and  3m , we get,

⇒  mn + 3m - 5n - 15

Taking m common from first two term and -5 common from last two term , we have

⇒  m(n + 3) - 5(n + 3)  

⇒  (m- 5)(n + 3)  

Thus the factored form of four term polynomial  mn - 15 + 3m - 5n is  (m- 5)(n + 3)  

Option (c) is correct.

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step-by-step explanation: