Practice - Synthetic Division / Long Division
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Use synthetic division to divide \( f(x) = x^2 + 3x + 2 \) by \( x + 1 \). What is the quotient?
💡 Hint: Remember to write the coefficients and perform synthetic division using the known root.
If \( f(x) = 2x^3 + 6x^2 + 4x + 8 \), find the result of dividing by \( x + 2 \) using synthetic division.
💡 Hint: Identify the coefficient of the leading term.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary advantage of using synthetic division over long division?
💡 Hint: Consider the type of divisor used in each method.
True or False: Long division can only be used with quadratic polynomials.
💡 Hint: Think about the flexibility of long division.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Using long division, divide \( f(x) = 2x^4 - 4x^3 + 3x^2 - 6 \) by \( x^2 + 1 \) and find the remainder.
💡 Hint: Follow through each division step carefully, maintaining accurate tracking of terms!
Employ synthetic division for \( f(x) = 3x^3 + 6x^2 - 12x - 24 \) using \( x - 2 \) and find the resulting polynomial.
💡 Hint: Focus on the arrangement of coefficients for synthetic division!
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.