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A day full of math games & activities. Find one near you.
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)
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