Practice Factorisation Of Polynomials (2.4) - POLYNOMIALS - test1
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Factorisation of Polynomials

Practice - Factorisation of Polynomials

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Identify whether 3x - 2 is a factor of x² - x - 6.

💡 Hint: Evaluate the polynomial at x = 2.

Question 2 Easy

Write the factors of x² - 5x + 6.

💡 Hint: Look for numbers that add up to -5 and multiply to 6.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

💡 Hint: Remember the key relationship between a polynomial and its factors.

Question 2

Is the polynomial d(x) = x³ - 4x + 4 factorable?

True
False

💡 Hint: Check for rational roots using substitution.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Factor x³ - 3x² - 4x + 12 completely.

💡 Hint: Start by checking simple integer values.

Challenge 2 Hard

Remove common factors from 12xy² + 8xy - 20z.

💡 Hint: Look for the greatest common factor first.

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Reference links

Supplementary resources to enhance your learning experience.