Practice Factorisation Of Polynomials (9) - Polynomials - IB 10 Mathematics – Group 5, Algebra
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Factorisation of Polynomials

Practice - Factorisation of Polynomials

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Factor \(x^2 - 4\).

💡 Hint: Look for the difference of squares.

Question 2 Easy

Factor out the common term in \(3x^2 + 6x\).

💡 Hint: What is common in both terms?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the factorization of \(x^2 - 1\)?

\\((x - 1)(x + 1)\\)
\\((x^2 - 1)\\)
\\(x^2 + 1\\)

💡 Hint: Recall the difference of squares identity.

Question 2

True or False: The Factor Theorem states that if \(P(a) = 0\), then \(x - a\) is a factor of \(P(x)\).

True
False

💡 Hint: Think about what it means for a polynomial to equal zero.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Factor the polynomial completely: \(x^4 - 16\).

💡 Hint: What identity can help with differences of squares?

Challenge 2 Hard

Determine and factor any missing terms in the polynomial \(x^2 - 10x + 24 = 0\). What do the roots represent in context?

💡 Hint: What methods can be used to find these roots?

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