To factor the quadratic expression x^2−8x−10 by completing the square, what value would be added? A. 64 B. 8 C. 16 D.-16

C

Step-by-step explanation:

When completing the square, we essentially want to create a perfect square trinomial by adding a constant.

If we have the following expression:

And we want to complete the square, we will need to divide the b-coefficient by half and then square it.

Thus, the added term should be:

In the given equation, we have:

The b term here is 8. Therefore:

The value we would add would be 16.

The answer is C.

Further notes:

To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

The expression inside the parentheses is now a perfect square trinomial. Factor it:

And we are done!

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step-by-step explanation:

step-by-step explanation:

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