Perfect Square Trinomial To Square Of A Binomial | Wyzant Ask An Expert

Subject ZIP Search Search Find an Online Tutor Now Ask Ask a Question For Free Login Trinomials Perfect Square Mathematics Square Of Binomials perfect square trinomial to square of a binomial x^211x+ x^2 -15x+ s^2- 2/3s + h^2-3/4h+ Follow • 2 Add comment More Report

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Best Newest Oldest By: Best Newest Oldest For each of these, you'll need to add some constant that makes the trinomial a perfect square. Here's an example: x2 + 6x + ____ Add half of the middle term (6) squared: x2 + 6x + (6/2)2 x2 + 6x + 32 x2 + 6x + 9 (x+3)(x+3) (x+3)2 FOIL that back out to see why it needs to be half the middle term squared. We want the constant for the binomial (3) to be half the middle term of the trinomial, since we'll get 3x + 3x = 2(3)x = 6x. And we want the constant for the binomial to be that value (3) squared, since we'll get (3)(3) = 32. I'll pick one of yours to work out as another example: s2 - 2/3s + ____ Half of -2/3 is (1/2)(-2/3) = -2/6 = -1/3. -1/3 squared is (-1/3)(-1/3) = 1/9. s2 - 2/3s + 1/9 (s - 1/3)(s - 1/3) (s - 1/3)2 Try the rest on your own. Upvote • 0 Downvote Add comment More Report

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