Question

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 (11m-8)(m+2) ?

Answer 1

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 )