anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I think line 1 because it should be 3x on both sides not 2. but u should get a second opinion
zepdrix
  • zepdrix
Line 1 looks ok :) Madeline factored a 3 out of each of the first two terms.
Ashely14
  • Ashely14
what do u think

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zepdrix
  • zepdrix
To complete the square, she recognized that she needed a +1\[\large\rm f(x)=3(x^2+2x+1)-7\]But you have to balance this by also subtracting 1. But the subtraction needs to happen inside of the brackets!\[\large\rm f(x)=3(x^2+2x+1\color{orangered}{-1})-7\]In order for this -1 to come outside of the brackets, it needs to multiply the 3.
zepdrix
  • zepdrix
\[\large\rm f(x)=3(x^2+2x+1)-7\color{orangered}{-3}\]\[\large\rm f(x)=3(x+1)^2-10\]Do you see where the mistake was made? :)

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