anonymous
  • anonymous
Help, please? Which polynomial is a perfect square trinomial? 49x2 − 28x + 16 4a2 − 20a + 25 25b2 − 20b − 16 16x2 − 24x − 9
Mathematics
schrodinger
  • schrodinger
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welshfella
  • welshfella
find the square root of the first and last terms and try to combine them to get the middle term
welshfella
  • welshfella
* first and last coefficients I should have said
welshfella
  • 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
  • anonymous
I want to say B but I'm not sure-
welshfella
  • welshfella
the last 2 option are incorrect because there are no real square roots of -16 and -9
welshfella
  • welshfella
what are the square roots of 2a^2 and 25
welshfella
  • welshfella
* 4a^2 and 25?
welshfella
  • welshfella
remember that 25 = 5*5 or -5*-5
anonymous
  • anonymous
The square root of 25 is 5, but I'm not sure about 4a^2
welshfella
  • welshfella
2a * 2a = 4a^2
welshfella
  • welshfella
sqrt 25 is 5 OR -5
anonymous
  • anonymous
Okay, that makes sense, so wait would the square root of 4a^2 be 2a?
welshfella
  • welshfella
so if a = 2a and b = -5 what is the value of 2ab?
welshfella
  • welshfella
yes
anonymous
  • anonymous
So it would be 2a*5 since b=5?
anonymous
  • anonymous
Or -5 I should say.
welshfella
  • welshfella
no 2 * 2a * -5
welshfella
  • welshfella
what does that come to?
anonymous
  • 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
  • anonymous
NONO NEVERMIND 2a*10
welshfella
  • welshfella
2a * -10
welshfella
  • welshfella
its NEGATIVE 5 here because the middle term is negative
anonymous
  • anonymous
Oh, okay. That makes more sense.
welshfella
  • welshfella
so what does 2*-10a simplify to?
anonymous
  • anonymous
-20a?
anonymous
  • anonymous
I think that's right at least-

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