SOLUTION: what is not a perfect square trinomial? a) X^2 -6x-9 b) x^2-8x+16 c) x^2-2x+1 d) x^2+10x+25 If anyone could please be my toutor id really apprecate it

Algebra ->  Functions -> SOLUTION: what is not a perfect square trinomial? a) X^2 -6x-9 b) x^2-8x+16 c) x^2-2x+1 d) x^2+10x+25 If anyone could please be my toutor id really apprecate it      Log On


   



Question 557034: what is not a perfect square trinomial? a) X^2 -6x-9 b) x^2-8x+16 c) x^2-2x+1 d) x^2+10x+25 If anyone could please be my toutor id really apprecate it. i Fell far behind in amth and i need to get caught up
Found 2 solutions by KMST, solver91311:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+-6x%2B9=%28x%2B3%29%5E2, but x%5E2+-6x-9 is not a perfect square.
A perfect square has 2 squares added (with plus signs) and double their product (the term that could have a minus sign).

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


A perfect square trinomial is the square of two binomials, thus:



In the case of your four answers, is a constant because the last term of all four of your trinomials is a constant. But no matter whether the sign is positive or negative, the two end terms in a perfect square trinomial must be positive -- plus times plus is plus or minus times minus is plus, right? One of your answers has a minus sign on the constant term.

John

My calculator said it, I believe it, that settles it
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