Question

A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be represented by a perfect square model?

x2 – 6x + 9
x2 – 2x + 4
x2 + 5x + 10
x2 + 4x + 16

Answer 1

@Jhannybean @PaxPolaris

Answer 2

Which of these are factorable?

Answer 3

@dtan5457 idk

Answer 4

ax^2+bx+c=0

which of these has values where the same number can add up to value of b, and multiply to the value of c?

Answer 5

x2 – 6x + \(\color{red}{9}\)
x2 – 2x + \(\color{red}{4}\)
x2 + 5x + 10
x2 + 4x + \(\color{red}{16}\)

Answer 6

From your answer choices, first analyze the constants.

Answer 7

You see that \(9 = 3^2~,~ 4 = 2^2 ~,~ 16 = 4^2\)

Answer 8

\(x^2 \implies (x)^2\)

Answer 9

iDont Get This 1 @Jhannybean

Answer 10

I think the first two as @Jhannybean wrote

Answer 11

Then you use your constant terms to find your middle term

Answer 12

maybe can be x^2+5x+10, because when I substitute x=1, I get 16 which is a perfect square!

Answer 13

?

Answer 14

@Jhannybean
Please continue your line of explanation. Don't get interrupted.

Answer 15

@AlexandervonHumboldt2 @Abhisar

Answer 16

Ok, then using your constant terms, you have to test whether one is positive, the other is negative, they are both positive, or both are negtive.

Answer 17

So let's try option D.

Answer 18

D. \(x^2 +4x+16\)

We found that \(16 = 4^2\). that means we have \(4~,~4\) as our factors.

Answer 19

Now if we write it in factored form, does \((x+4)(x+4) = x^2 +4x+16\)?

If it does not, then we can eliminate that option.

Answer 20

Next we analyze option B. \(x^2 -2x+4\).

Recall that \(4 = 2^2\), and that leaves us with the factors \( 2~,~2\).

writing this in factored form, we have \((x+2)(x+2)\) and even \((x-2)(x-2)\)

Do \((x+2)(x+2) = x^2 -2x+4\) or does \((x-2)(x-2) = x^2 -2x+4\)?

If not, then eliminate the choice.

Answer 21

not sure

Answer 22

Well, expand these functions.

Answer 23

What do these functions expand to?: \[(x-3)(x-3)=\]\[(x+4)(x+4)=\]\[(x+2)(x+2)=\]\[(x-2)(x-2)=\]Use the foil method to expand all of these functions and tell me what you get.

Answer 24

idk im trying

Answer 25

I'll help you with the last one, then I'd like you to use the same technique on the rest of them and expand them accordingly :)