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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the sum of roots for the polynomial x² - 5x + 6.
💡 Hint: Use the formula -b/a.
Question 2
Easy
What is the product of roots for the polynomial 4x² + 8x + 3?
💡 Hint: Remember to use c/a.
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 formula for the sum of roots in a quadratic equation?
- α + β = -b/a
- α + β = c/a
- α + β = 0
💡 Hint: Think about how the coefficients are related to the roots.
Question 2
The product of the roots for the polynomial 6x² + 11x - 10 is?
- -10/6
- 10/6
- 5/3
💡 Hint: Use c and a values from the polynomial to find the answer.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Determine the values of k for the quadratic polynomial kx² + 3kx - 5 = 0 such that the sum of the roots equals 3.
💡 Hint: Use sum of roots to frame the equation involving k.
Question 2
Prove that for the polynomial x² - 4x + 4 = 0, both roots are equal and explain how the relationships hold.
💡 Hint: Factor it and show the outcomes explicitly.
Challenge and get performance evaluation