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- anonymous

Help, please?
Which polynomial is a perfect square trinomial?
49x2 − 28x + 16
4a2 − 20a + 25
25b2 − 20b − 16
16x2 − 24x − 9

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- anonymous

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- welshfella

find the square root of the first and last terms and try to combine them to get the middle term

- welshfella

* first and last coefficients I should have said

- welshfella

(a + b^2 = a^2 + 2ab + b^2
a and b have to such that they can form 2ab

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- anonymous

I want to say B but I'm not sure-

- welshfella

the last 2 option are incorrect because there are no real square roots of -16 and -9

- welshfella

what are the square roots of 2a^2 and 25

- welshfella

* 4a^2 and 25?

- welshfella

remember that 25 = 5*5 or -5*-5

- anonymous

The square root of 25 is 5, but I'm not sure about 4a^2

- welshfella

2a * 2a = 4a^2

- welshfella

sqrt 25 is 5 OR -5

- anonymous

Okay, that makes sense, so wait would the square root of 4a^2 be 2a?

- welshfella

so if a = 2a and b = -5 what is the value of 2ab?

- welshfella

yes

- anonymous

So it would be 2a*5 since b=5?

- anonymous

Or -5 I should say.

- welshfella

no
2 * 2a * -5

- welshfella

what does that come to?

- anonymous

2a*25, right? Since you really can't do anything with the A right now because we don't know what that is-

- anonymous

NONO NEVERMIND
2a*10

- welshfella

2a * -10

- welshfella

its NEGATIVE 5 here because the middle term is negative

- anonymous

Oh, okay. That makes more sense.

- welshfella

so what does 2*-10a simplify to?

- anonymous

-20a?

- anonymous

I think that's right at least-

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