Practice Synthetic Division / Long Division - 4.2 | 16. Cubic Functions | IB Class 10 Mathematics – Group 5, Algebra
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4.2 - Synthetic Division / Long Division

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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.

Question 2

Easy

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the primary advantage of using synthetic division over long division?

  • It can be used for non-linear divisors.
  • It's faster for linear divisors.
  • It works for all degrees.
  • None of the above.

💡 Hint: Consider the type of divisor used in each method.

Question 2

True or False: Long division can only be used with quadratic polynomials.

  • True
  • False

💡 Hint: Think about the flexibility of long division.

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Challenge Problems

Push your limits with challenges.

Question 1

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!

Question 2

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!

Challenge and get performance evaluation