# Are all trinomials perfect square? prove

2
by kennethyu

## Answers

2014-07-28T19:08:11+08:00

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No. Because sometimes, there are equations like "3x^2-2x+5" which when you simplify it, it is not a perfect square. You can determine if a trinomial is a perfect square by these steps.

(a) the middle sign can be + or -, but the third sign should be +
(b) the middle coefficient is twice the square root of the first coefficient times the square root of the third coefficient

a² + 14a + 49 => signs are fine, and 14 = 2*√1*√49 => (a+7)²

9z² - 3z + 1 => signs are fine, but 3 ≠ 2*√9*√1

2014-07-28T19:37:52+08:00

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No,becuase there has some that are not perfect

sorry i'm not good in math

>Hope it helps
don't copy my answer,it is based on my mind !!
From: TaengPark