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what is the value of x in x² + 4x + 4?​

Sagot :

Answer and step-by-step explanation:

To find the value of x, equate the given polynomial to 0.

x² + 4x + 4 = 0

Then factor it by grouping.

x² + 4x + 4 = 0

x² + 2x + 2x + 4 = 0

(x² + 2x) + (2x + 4) = 0

x(x + 2) + 2(x + 2) = 0

(x + 2)(x + 2) = 0

Then equate each factor individually.

Move 2 to the right side of the equation by subtracting 2 to both sides of the equation.

x + 2 = 0

x + 2 - 2 = 0 - 2

x = -2

x + 2 = 0

x + 2 - 2 = 0 - 2

x = -2

Therefore, the value of x in the given polynomial is -2.