Practice Factored Form (3.2) - Cubic Functions - IB 10 Mathematics – Group 5, Algebra
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Factored Form

Practice - Factored Form

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Write the factored form of f(x) = x³ - 6x² + 9x.

💡 Hint: Look for common factors first.

Question 2 Easy

Identify the roots of the function f(x) = x³ - 1.

💡 Hint: Consider possible factorization.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the factored form of a cubic function?

💡 Hint: Recall the structure of polynomial factorization.

Question 2

The Rational Root Theorem suggests possible roots based on the factors of what?

The constant term
The leading coefficient
Both

💡 Hint: Think about how each term contributes to finding roots.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given f(x) = x³ - 6x² + 11x - 6, find all roots and express the function in factored form.

💡 Hint: Use Rational Root Theorem and synthetic division.

Challenge 2 Hard

For the function f(x) = 2x³ - 9x² + 12x, find one root and factor the function completely.

💡 Hint: Find a rational root first then use factoring.

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