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Madeline was completing the square, and her work is shown below. Identify the line where she made her mistake.
f(x) = 3x2 + 6x − 7
Line 1: f(x) = 3(x2 + 2x) − 7
Line 2: f(x) = 3(x2 + 2x + 1) − 7 − 1
Line 3: f(x) = 3(x + 1)2 − 8
Line 1
Line 2
Line 3
She did not make any mistakes
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OpenStudy (janu16):
what do you think?
OpenStudy (hannahwaller5):
I was thinking the second one...
OpenStudy (hannahwaller5):
I mean first
OpenStudy (janu16):
there is nothing wrong in the Line1, she is just factoring out 3 form first two terms
yes correct. do you know why?
OpenStudy (janu16):
you were right at first
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OpenStudy (hannahwaller5):
She was supposed to add one on the outside of the parentheses not subtract...?
OpenStudy (janu16):
it is line 2 but why?
OpenStudy (janu16):
no
OpenStudy (hannahwaller5):
Yea im not sure then...
OpenStudy (janu16):
if you ask Is it the -1 at the end?
then yes, it has to be -3 instead
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OpenStudy (janu16):
its not suppose to be -1
OpenStudy (hannahwaller5):
Oh -3 that right i forgot about the 3 at the beginning... thanks lol