Factor the following trinomials. (Hint: Solve the equations first.)

x ²−2x −2

1 answer

since solving by factoring assumes you know how to factor, let's complete the square instead.

x^2 - 2x - 2 = 0
x^2 - 2x = 2
x^2 - 2x + 1 = 2+1
(x-1)^2 = 3
x = 1±√3
so the factors are
(x - (1+√3))(x - (1-√3))
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