Practice Factorisation of Polynomials - 2.4 | 2. POLYNOMIALS | test1
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2.4 - Factorisation of Polynomials

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Identify whether 3x - 2 is a factor of xΒ² - x - 6.

πŸ’‘ Hint: Evaluate the polynomial at x = 2.

Question 2

Easy

Write the factors of xΒ² - 5x + 6.

πŸ’‘ Hint: Look for numbers that add up to -5 and multiply to 6.

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 does the Factor Theorem state?

  • If p(a) = 0
  • then (x - a) is a factor.
  • All polynomials are factors of their roots.
  • There can be no roots in a cubic polynomial.

πŸ’‘ Hint: Remember the key relationship between a polynomial and its factors.

Question 2

Is the polynomial d(x) = xΒ³ - 4x + 4 factorable?

  • True
  • False

πŸ’‘ Hint: Check for rational roots using substitution.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Factor xΒ³ - 3xΒ² - 4x + 12 completely.

πŸ’‘ Hint: Start by checking simple integer values.

Question 2

Remove common factors from 12xyΒ² + 8xy - 20z.

πŸ’‘ Hint: Look for the greatest common factor first.

Challenge and get performance evaluation