Question

Check all polynomials that are perfect square trinomials:

9x2 − 6x + 1

36b2 − 24b + 8

16x2 + 24x + 9

4a2 − 10a + 25

Answer 1

...

Answer 2

look for ones that look like
\[a^2+2ab+b^2=(a+b)^2\] for example
\[9x^2-6x+1=(3x-1)^2\]

Answer 3

does it need to have the + and - in order?

Answer 4

also
\[ 16x^2 + 24x + 9 =(5x+3)^2\]

Answer 5

no

Answer 6

so they all work?

Answer 7

\[36b^2 − 24b + 8 \] is not one because \(8\) is not a perfect square

Answer 8

I would choose 9x^2 − 6x + 1 right away, knowing that it is the same as x^2-6x+9, but reversed, if you know what I mean.

Answer 9

oh ok thank you!

Answer 10

neither is \(4a^2 − 10a + 25 \)

Answer 11

y?

Answer 12

it looks like one, but \((2a-5)^2=4a^2-20a+25\)

Answer 13

if \(a=2x,b=-5\) then \(2ab=-20x\) not \(-10x\) it was a trick

Answer 14

oh ok lol

Answer 15

Thank you!

Answer 16

yw