Practice Worked Examples (1.5) - Factorization - IB 10 Mathematics – Group 5, Algebra
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Worked Examples

Practice - Worked Examples

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Practice Questions

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Question 1 Easy

Factorize x^2 - 16.

💡 Hint: Look for a difference of squares.

Question 2 Easy

Factorize x^2 + 10x + 25.

💡 Hint: Recognize a perfect square trinomial.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the factored form of 4x^2 - 25?

(2x - 5)(2x + 5)
(2x + 5)(2x + 5)
2(2x - 5)

💡 Hint: Use the difference of squares identity.

Question 2

True or False: The expression x^3 + 8 can be factored using a difference of squares.

True
False

💡 Hint: Remember the difference and sum of cubes formulas.

1 more question available

Challenge Problems

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Challenge 1 Hard

Factor the expression completely: 3x^4 + 12x^3 + 12x^2.

💡 Hint: Look for the common factor first and then break down the quadratic.

Challenge 2 Hard

Factor the polynomial: x^4 - 16.

💡 Hint: Start with the difference of squares and follow by factoring again if needed.

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