What is the perfect square of f(x)=-2x^2-4x+2

Question

What is the perfect square of f(x)=-2x^2-4x+2

Answer 1

Factor the GCF.

 

f(x) = 2x² - 4x + 2

f(x) = 2(x² - 2x + 1)

 

Now, find the perfect square of the remaining trinomial.

 

f(x) = 2(x - 1)(x - 1)

f(x) = 2(x - 1)²