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Math

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

  • Math - ,

    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 )

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