If x2 + mx + m is a perfect-square trinomial, which equation must be true?
x2 + mx + m = (x – 1)2

x2 + mx + m = (x + 1)2

x2 + mx + m = (x + 2)2

x2 + mx + m = (x + 4)2

Respuesta :

x² + mx + m          comparing to ax² + bx + c

a = 1, b = m,  c = m.

For perfect square trinomial,    b² = 4ac

b² = 4ac

m² = 4*1*m

m² = 4m

m² - 4m = 0

m(m - 4) = 0

m = 0, or        m - 4 = 0,   m = 4.

Using m = 4, 

x² + mx + m = x² + 4x + 4 = (x + 2)²

x² + mx + m = (x + 2)²

Answer:

Step-by-step explanation:

x² + mx + m = (x + 2)²

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