Practice Based On Degree (2.1) - Polynomials - IB 10 Mathematics – Group 5, Algebra
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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Identify the degree of the polynomial: P(x) = 5x² + 3x - 1.

💡 Hint: Look for the highest exponent of x.

Question 2 Easy

Is P(x) = 7 a polynomial? If so, what is its degree?

💡 Hint: Consider if it has any variable part.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the degree of the polynomial P(x) = 8x² - 6x + 1?

0
1
2

💡 Hint: Look for the term with the highest power of x.

Question 2

True or False: A constant polynomial has no variable.

True
False

💡 Hint: Think about the form of a constant polynomial.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the polynomial P(x) = 2x³ + 3x² - 2x + 1, determine its degree and classify it. Then, identify how many zeros it potentially has.

💡 Hint: Identify the highest exponent and remember cubic behaviors regarding zeros.

Challenge 2 Hard

Prove that the polynomial P(x) = 4x² - 3x + 7 does not cross the x-axis and therefore has no real roots.

💡 Hint: Check the discriminant to verify root conditions.

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