lalaland_lauren
  • lalaland_lauren
Select the polynomial that is a perfect square trinomial. 49x2 − 8x + 16 4a2 − 10a + 25 25b2 − 5b + 10 16x2 − 8x + 1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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lalaland_lauren
  • lalaland_lauren
please help :(
JoannaBlackwelder
  • JoannaBlackwelder
Have you tried factoring? Or the pythaorgean theorem?
lalaland_lauren
  • lalaland_lauren
I would, but I struggle with this kind of stuff and I need help to understand it

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More answers

JoannaBlackwelder
  • JoannaBlackwelder
Ok, for perfect square it has to factor to the form (ax + b)^2, so we can try factoring with the same numbers in each of the binomials.
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1437761715779:dw| I chose 7 because 7*7 is 49
JoannaBlackwelder
  • JoannaBlackwelder
And -4 because -4*-4=16 and the middle number is negative.
JoannaBlackwelder
  • JoannaBlackwelder
Does that make sense so far?
lalaland_lauren
  • lalaland_lauren
Yup
lalaland_lauren
  • lalaland_lauren
So that's a perfect square?
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1437761833427:dw| We don't know yet. We need to check it and see if it gets us back to the original function.
JoannaBlackwelder
  • JoannaBlackwelder
Is that the same as A?
lalaland_lauren
  • lalaland_lauren
No :P
JoannaBlackwelder
  • JoannaBlackwelder
Ok, then that is not it. Can you try to do the same thing with B?
lalaland_lauren
  • lalaland_lauren
I don't think it is because I end up with 2a+5 and there's a negative in the middle, so no right?
JoannaBlackwelder
  • JoannaBlackwelder
Well, since there is a negative in the middle, we need to use -5 (2a-5)(2a-5)
JoannaBlackwelder
  • JoannaBlackwelder
But does that multiply back out to give us what we started with?
lalaland_lauren
  • lalaland_lauren
no, it'd be 4a^2-20a+25
JoannaBlackwelder
  • JoannaBlackwelder
Right, so that's not it. What about C?
lalaland_lauren
  • lalaland_lauren
I can't find the square root of ten so I don't think it's a perfect square
JoannaBlackwelder
  • JoannaBlackwelder
Yeah, 10 doesn't have a perfect square, but we could:|dw:1437762288347:dw|
JoannaBlackwelder
  • JoannaBlackwelder
But you are right, that wouldn't be the answer. :-)
JoannaBlackwelder
  • JoannaBlackwelder
Let's check D.
lalaland_lauren
  • lalaland_lauren
4x+1 is what I got
JoannaBlackwelder
  • JoannaBlackwelder
Since the middle number is negative, we need to use -1
JoannaBlackwelder
  • JoannaBlackwelder
Can you try multiplying out (4x-1)(4x-1)?
lalaland_lauren
  • lalaland_lauren
I got 16x^2-8x+1 :-)
JoannaBlackwelder
  • JoannaBlackwelder
Yay! :-D
lalaland_lauren
  • lalaland_lauren
Thank you for helping, I got a 100%!! ^-^
JoannaBlackwelder
  • JoannaBlackwelder
Awesome! You`re welcome!

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