Mathematics
9 Online
OpenStudy (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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OpenStudy (welshfella):
find the square root of the first and last terms and try to combine them to get the middle term
OpenStudy (welshfella):
* first and last coefficients I should have said
OpenStudy (welshfella):
(a + b^2 = a^2 + 2ab + b^2
a and b have to such that they can form 2ab
OpenStudy (anonymous):
I want to say B but I'm not sure-
OpenStudy (welshfella):
the last 2 option are incorrect because there are no real square roots of -16 and -9
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OpenStudy (welshfella):
what are the square roots of 2a^2 and 25
OpenStudy (welshfella):
* 4a^2 and 25?
OpenStudy (welshfella):
remember that 25 = 5*5 or -5*-5
OpenStudy (anonymous):
The square root of 25 is 5, but I'm not sure about 4a^2
OpenStudy (welshfella):
2a * 2a = 4a^2
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OpenStudy (welshfella):
sqrt 25 is 5 OR -5
OpenStudy (anonymous):
Okay, that makes sense, so wait would the square root of 4a^2 be 2a?
OpenStudy (welshfella):
so if a = 2a and b = -5 what is the value of 2ab?
OpenStudy (welshfella):
yes
OpenStudy (anonymous):
So it would be 2a*5 since b=5?
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OpenStudy (anonymous):
Or -5 I should say.
OpenStudy (welshfella):
no
2 * 2a * -5
OpenStudy (welshfella):
what does that come to?
OpenStudy (anonymous):
2a*25, right? Since you really can't do anything with the A right now because we don't know what that is-
OpenStudy (anonymous):
NONO NEVERMIND
2a*10
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OpenStudy (welshfella):
2a * -10
OpenStudy (welshfella):
its NEGATIVE 5 here because the middle term is negative
OpenStudy (anonymous):
Oh, okay. That makes more sense.
OpenStudy (welshfella):
so what does 2*-10a simplify to?
OpenStudy (anonymous):
-20a?
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OpenStudy (anonymous):
I think that's right at least-