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user100 [1]
3 years ago
10

What number should be added to the expression x^2 + 4x to change it into a perfect square trinomial

Mathematics
1 answer:
AnnZ [28]3 years ago
6 0

Answer:

4

Step-by-step explanation:

given

x² + 4x

To change it into a perfect square

add (half the coefficient of the x- term)² to x² + 4x

x² + 4x + (\frac{4}{2})²

= x² + 4x + 2² = x² + 4x + 4

and x² + 4x + 4 = (x + 2)² ← a perfect square

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