Practice Synthetic Division / Long Division (4.2) - Cubic Functions - IB 10 Mathematics – Group 5, Algebra

Practice: Synthetic Division / Long Division

Lesson 4.2Cubic Functions

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10 questions

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Quiz
4 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Use synthetic division to divide $f(x) = x^2 + 3x + 2$ by $x + 1$ . What is the quotient?
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Remember to write the coefficients and perform synthetic division using the known root.
Question 2.
If $f(x) = 2x^3 + 6x^2 + 4x + 8$ , find the result of dividing by $x + 2$ using synthetic division.
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Identify the coefficient of the leading term.
3Question 3.
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.
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Consider the type of divisor used in each method.
4Question 4.
True or False: Long division can only be used with quadratic polynomials.
- True
- False
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Think about the flexibility of long division.
Question 5.
Using long division, divide $f(x) = 2x^4 - 4x^3 + 3x^2 - 6$ by $x^2 + 1$ and find the remainder.
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Follow through each division step carefully, maintaining accurate tracking of terms!
Question 6.
Employ synthetic division for $f(x) = 3x^3 + 6x^2 - 12x - 24$ using $x - 2$ and find the resulting polynomial.
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Focus on the arrangement of coefficients for synthetic division!

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