Which of the following are the factors of m² - 14m + 48?
(m - 12)(m - 4)
(m - 12)(m + 4)
(m + 6)(m + 8)
(m - 6)(m - 8)

Solution:

Factoring quadratics is a method of expressing the polynomial as a product of its linear factors. It is a process that allows us to simplify quadratic expressions, find their roots and solve equations.

Given expression is:

m² - 14m + 48

We can write it as m² - 6m - 8m + 48

By grouping,

m(m - 6) - 8(m - 6)

So we got,

(m - 6)(m - 8)

Therefore, the factors are (m - 6)(m - 8)

Which of the following are the factors of m² - 14m + 48?

Summary:

The following are the factors of m² - 14m + 48 : (m - 6)(m - 8)