Find the constant term that should be added to make the following expression a perfect-square trinomial.?
Find the constant term that should be added to make the following expression a perfect-square trinomial.
x^2+ 7x
A) 49 B) 49/2 C)7/2 D) 49/4
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It would be D
The way to do it is to take half of the b constant and then square it.
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5 years ago
I’m taking a graduate math class and am just now appreciating how important it is to be able to ‘complete the square’. You want to add an amount to make what you have a perfect square: x^2 + 7x +(7/2)^2 – (7/2)^2 (x+7/2)^2 – (7/2)^2 See how that works, It’s a common technique to add zero in a form that gives you what you want.
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