Respuesta :

Answer:

(x + 5)(x - 11).

Step-by-step explanation:

m^2 - 6m - 55.

I assume you want to factor this trinomial.

It  could factor to the form (m + a)(m + b)  where a and b  are integers to be found.

We need a and b to be numbers where a*b =  - 55 and  a + b = -6. These 2 numbers are -11 and + 5, so the answer is (x + 5)(x - 11).

altavistard

Answer:

(m - 11)(m + 5)

Step-by-step explanation:

Factor:  m^2 - 6m - 55.

Notice that -55 is the product either of -5 and 11 or of 5 and -11.

Notice that -11 + 5 = -6, which is the coefficient of the middle term (-6m).

Factoring by grouping, we get:

m^2 - 6m - 55 = m^2 - 11m + 5m - 55.

Notice that we can factor m out of the first two terms and can factor 5 out of the last two terms:  m(m - 11) + 5(m - 11).

m - 11 is a factor of both m(m - 11) + 5(m - 11), and so

m(m - 11) + 5(m - 11) = (m - 11)(m + 5)

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