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Elena-2011 [213]
3 years ago
11

Which of the following values "completes the square," or creates a perfect square trinomial, for x2 + 6x + ___?

Mathematics
1 answer:
jekas [21]3 years ago
7 0
To create a perfect square trinomial, halve the x coefficient, square it, and then add that value.

In the case of x² + 6x, we would have 6 to get 3, then square 3 to get 9.
We would add 9 to make a perfect square trinomial.
<u>
</u><u>Why this works</u>
A perfect square trinomial is designed to factor to some value (x+n)².
When you FOIL this you get x² + 2nx + n².
As you can see, if you wanted to find the value of that n², you could take that x coefficient 2n, halve it to get n, and then square it to get n²!
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