Question

Determine which polynomial is a perfect square trinomial. (3 points)
4x2 − 12x + 9
16x2 + 24x − 9
4a2 − 10a + 25
36b2 − 24b − 16

Answer 1

Any ideas?

Answer 2

I thought maybe the middle one.

Answer 3

There is no middle one with 4 questions?

Answer 4

oh, ahah sorry! I meant the 2nd one.

Answer 5

the first one is perfect Square i.e (2x-3)^2

Answer 6

$$ 4x^2 − 12x + 9$$
$$16x^2 + 24x − 9$$
$$4a^2 − 10a + 25$$
$$36b^2 − 24b − 16$$

Answer 7

how did you find it though? I'd wrather learn than have the answer.

Answer 8

@thisisarri GREAT answer @syedadnanshah

Answer 9

Let's start with the definition of a perfect square trinomial

Answer 10

ok, sure

Answer 11

perfect square trinomial: An expression with three terms that is the square of a binomial.

Answer 12

yeah. i know i just forgot how to find out which one it is(:

Answer 13

What does the square of a binomial look like?

Answer 14

by formula of (a-b)^2=a^2-2ab+b^2
your equation 4x^2-12x+9 can be wrtten as
(2x)^2-2(2x)3+(3)^2 and so (2x-9)^2

Answer 15

ok, but thats not one of the options? @syedadnanshah

Answer 16

$$(a+b)^2= a^2 +2ab +b^2$$ or
$$(a-b)^2=a^2-2ab+b^2$$

Answer 17

that's the formula. @skullpatrol

Answer 18

These are the forms you must work with.

Answer 19

okay. So lets do this then(:

Answer 20

whats's first @skullpatrol

Answer 21

Lets look at $$4x^2-12x+9 $$

Answer 22

good! ok

Answer 23

i know hot so solve it

Answer 24

*how

Answer 25

You are not "solving" anything, you are simplifying an expression. In fact you are trying to factor it.

Answer 26

yess, i know this. I'm just stuck on this one problem.

Answer 27

Let me go to the drawing board...