Completing the square - in the form
Complete the square after taking the leading coefficient out of the
- Factor
out of the and terms. Leave the constant outside. - Complete the square inside the parenthesis.
- Multiply the correction term by the outside coefficient before combining constants.
Example 1
Keep the outside multiplier
Complete the square.
Example 2
A fractional half
Write the expression in completed-square form.
Remember
Check by expanding the final expression. The outside multiplier affects the correction as well as the squared parenthesis.
Your turn
5 practice questions0 of 5 answers checked
Question 1
Complete the square.
Check answer
Question 2
Complete the square.
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Question 3
Complete the square.
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Question 4
Complete the square.
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Question 5
Complete the square.
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Complete the square.
Complete the square.
Complete the square.
Complete the square.
Complete the square.