Question

M^2-6m-55
can you show the steps please

Answer 1

(m - 11)(m + 5)

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)

Answer 2

(x + 5)(x - 11).

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).