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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Complete the square: x² + 10x + 21.
💡 Hint: Find half of 10, square it, then add and subtract it.
Question 2
Easy
Complete the square: x² - 4x.
💡 Hint: What do you get when you take half of -4?
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the first step to complete the square for x² + 8x + 7?
- Factor x
- Add and subtract
- Divide by a
💡 Hint: What do you do with the coefficient of x?
Question 2
True or False: Completing the square can only be done if a = 1.
- True
- False
💡 Hint: Consider if you're able to start with any coefficient.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Complete the square for the expression x² + 12x + 36 and solve the resulting equation = 0.
💡 Hint: Focus on half of 12 and remember to set your expression to zero afterwards.
Question 2
Let h(t) = -4t² + 16t + 1. Find the time at which the maximum height occurs by completing the square.
💡 Hint: Transform into vertex form and identify the vertex time.
Challenge and get performance evaluation