Math
posted by Linda on .
Factor the trinomial. If the trinomial cannot be found, say so.
11m^2 + 14m  16
I just want to make sure...would the answer be (11m8)(m+2) ?

Solve quadratic equation:
11 m ^2 + 14m  16 = 0
The solutions are:
m1 = 2
m2= 8/11
Use formula for factoring quadratic equation:
a m ^ 2 + b m + c = a(m  m1)(m  m2)
Where m1 and m2 are solutions of quadratic equation
In our case we have:
11 m^ 2 + 14 m  16 = 11(m  (2)) (m  8/11) that is
11 m^ 2 + 14 m  16 = 11(m + 2)(m  8/11)
We can simplify this expression by multiply the second bracket by 11.
After multiplying we have:
11 m^ 2 + 14 m  16 = ( m + 2 )( 11 m  8 )