Answered

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Which value is needed in the expression below to create a perfect square trinomial? x2 8x ______ 4 8 16 64

Sagot :

facundo3141592

To have a perfect square, the correct option is 16.

Which value is needed in the expression?

Remember that:

[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]

In this case, we have:

[tex]x^2 + 8x + (?)[/tex]

We can rewrite the second term of the trinomial as:

8x = 2*4*x

Then, using the above formula for the perfect square, we can say that:

b = 4

Then the missing term is:

[tex]4^2 = 16[/tex]

So the correct option is 16.

If you want to learn more about perfect squares:

https://brainly.com/question/1538726

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