Practice Relationship between Zeroes and Coefficients of a Polynomial - 2.3 | 2. POLYNOMIALS | CBSE 10 Mathematics
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2.3 - Relationship between Zeroes and Coefficients of a Polynomial

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Find the zeroes of the polynomial x^2 - 4x + 4.

πŸ’‘ Hint: Look for perfect squares.

Question 2

Easy

What is the sum of the zeroes of 3x^2 + 6x - 9?

πŸ’‘ Hint: Use the formula for the sum of zeroes.

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 sum of the zeroes of the quadratic polynomial 2x^2 + 4x - 10?

  • -4
  • 4
  • 0

πŸ’‘ Hint: Refer to the formula for sum.

Question 2

True or False: A quadratic polynomial can have at most 2 zeroes.

  • True
  • False

πŸ’‘ Hint: Consider the polynomial degree.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Show that for a cubic polynomial the sum of the zeroes and the sum of products concept applies for p(x)=x^3 - x^2 - 4x + 4.

πŸ’‘ Hint: Use synthetic division to find zeroes.

Question 2

Construct a quadratic polynomial with given zeroes 2 and -3, and verify the relationships.

πŸ’‘ Hint: Use the standard polynomial form.

Challenge and get performance evaluation