Answer:
Factors are (x+7) and (x+5).
Step-by-step explanation:
The given trinomial is (m² + 12m + 35)
For factorization of any polynomial we should apply zero factor property.
if a given polynomial is in the form of (ax² + bx + c) then the zero factors will be in the form of c/a.
Here c represents the multiples of constant term and a represents the multiples of the coefficient of highest polynomial.
Now our equation is m² + 12m + 35
here c is 35 and a is 1
Now multiples of 35 are ±7, ±5 and for 1 are ±1.
Now zero factors will be c/a = ±7/±1, ±5/±1 Or 7, 5 are the zero factors of the equation
Now we can say that (x+7) and (x+5) are the zero factors of the trinomial
So the trinomial can be written as (x+7)(x+5).
