Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial: x^2-18x+____?

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25-11-2016
Mathematics

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Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial: x^2-18x+____?

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Take the second term of the equation and divide it to two. Then, take the square of the quotient. In this problem, the middle term is -18.

(-18/2)² = 81

The perfect square equation would be x² - 18x + 81. The factors would be
(x - 9)²

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