Question

Part 1: Create a unique perfect square trinomial using what you know about the characteristics of a perfect square trinomial. Explain why the trinomial you created is considered a perfect square trinomial.

Answer 1

It has to do with completing a square

Answer 2

if you square a binomial, you end up with a "perfect square trinomial":\[(x+y)^2 = x^2+2xy+y^2\]So just pick values for y to come up with some trinomials. if I pick y = 3 i get:
\[(x+3)^2 = x^2+6x+9\]thats a perfect square trinomial. Just pick any number for y.

Answer 3

Simplisticly,When the third term is halfed and squared of the second and first term has 1 as coefficient .

Answer 4

what if i did this:
(x+2)(x+4)
x^2+8+2x+4x
x^2+6x+8

would that be right??

Answer 5

thats not a perfect square though. If you had done:\[(x+2)(x+2) = (x+2)^2\]then you would be fine.

Answer 6

i dont understand. they are equal

Answer 7

you want two factor to be the same
ex,

(x+2)(x+2)
or
(x-3)(x-3)

(x-a)(x-a)

Answer 8

oh!! I see :P thank you guys so much

Answer 9

how would i explain why it is a perfect square trinomial

Answer 10

A TRInomial is typically of the form (a+b+c)
So a perfect square for a trinomial is
(a+b+c)^2
=a^2+b^2+c^2+2ab+2bc+2ca

Answer 11

1)
x^2+4x+4
This is a perfect square trinomial because first and third terms are perfect squares.
2)
Find two numbers that multiply and add up to 4.
The numbers are 2&2
(x+2)(x+2)=(x+2)^2

Answer 12

hmm...i guess we are interpreting what this means in different ways.

Answer 13

I think your interpretation is more appropriate. Sorry.

Answer 14

meh, it is a little ambiguous, no worries :)

Answer 15

lol this is alg 1. I am confused on defferent parts of it :P such as factoring