anonymous
  • anonymous
Fill in the blank to make the expression a perfect square
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
v2+4v +
jim_thompson5910
  • jim_thompson5910
Take half of \(\Large {\color{red}{4}}\) in \(\Large v^2 + {\color{red}{4}}v + \) to get what?
anonymous
  • anonymous
2

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anonymous
  • anonymous
?
jim_thompson5910
  • jim_thompson5910
now square that result
anonymous
  • anonymous
4
jim_thompson5910
  • jim_thompson5910
so 4 goes in the blank \[\Large v^2 + 4v + \underline{ \ \ 4 \ \ }\]
jim_thompson5910
  • jim_thompson5910
The polynomial \[\Large v^2 + 4v + 4\] is a perfect square which factors to \(\Large (v+2)^2\)
anonymous
  • anonymous
really?
anonymous
  • anonymous
o ok i get it
jim_thompson5910
  • jim_thompson5910
yeah let's try another example say I gave you this v^2 + 10v + ________
jim_thompson5910
  • jim_thompson5910
step 1) take half of 10 (the second coefficient) step 2) square the result from step 1 what do you get?
anonymous
  • anonymous
25
jim_thompson5910
  • jim_thompson5910
yep so v^2 + 10v + ________ turns into v^2 + 10v + 25
jim_thompson5910
  • jim_thompson5910
v^2 + 10v + 25 would factor to (v+5)^2 notice how the 10 cuts in half to 5
anonymous
  • anonymous
yeah i get it now . thank you so much :)
anonymous
  • anonymous
make more sense now
jim_thompson5910
  • jim_thompson5910
you're welcome

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