Question

Factor the trinomial. The factors of m2 + 12m + 35 are ( ) and ( ).

Answer 1

The answer is (m+5)(m+7)
Do you need work?

Answer 2

Factors are (x+7) and (x+5).

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).