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Find the value of c that makes each trinomial a perfect square.

Find the value of c that makes each trinomial a perfect square.-example-1

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Answer:

The answer to your question is the letter a.

Explanation:

Data

x² + 12x + c

If this trinomial is a perfect square trinomial, the third term must be half the second term divided by the square root of the first term, and to the second power.

-Get half the second term

12x/2 = 6x

-Divide by the square root of the first term

6x/x = 6

-Express the result to the second power

6² = 36

-Write the perfect square trinomial

(x² + 12x + 36) = (x + 6)²

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