Answer:
Option (c) is correct.
The factored form of four term polynomial mn - 15 + 3m - 5n is (m- 5)(n + 3)
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.