Practice Zeroes of a Polynomial - 2.3 | 2. POLYNOMIALS | test1 | Allrounder.ai
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2.3 - Zeroes of a Polynomial

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Find the value of the polynomial p(x) = 3x - 3 at x = 1.

πŸ’‘ Hint: Substitute 1 for x in p(x).

Question 2

Easy

Does p(x) = x + 5 have any zeroes?

πŸ’‘ Hint: Set p(x) = 0 and try to solve.

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 value of x makes p(x) = x + 2 equal to zero?

  • -2
  • -1
  • 1

πŸ’‘ Hint: Think about solving p(x) = 0.

Question 2

True or False: A constant polynomial has zero as its only zero.

  • True
  • False

πŸ’‘ Hint: Consider the definition of constant polynomials.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

For the polynomial p(x) = 3x^3 - 12x, find all zeroes and explain your method.

πŸ’‘ Hint: Start with factoring to simplify the equation.

Question 2

Given p(x) = 4x^3 + 3x - 1, use the Rational Root Theorem to identify any possible rational zero.

πŸ’‘ Hint: Evaluate p(x) at your possible rational roots.

Challenge and get performance evaluation