Dividing Polynomials Worksheet
Practice worksheet for Grade 11 students on dividing polynomials using long division and synthetic division.
Includes
Standards
Topics
Dividing Polynomials
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Read each question carefully and show all your work. Use the provided space for your answers.
1. Divide (x³ - 6x² + 11x - 6) by (x - 1) using long division.
2. Divide (2x⁴ + 5x³ - 2x² + 5x - 1) by (x² + 3x + 1) using long division.
3. Divide (x³ + 4x² - x - 4) by (x + 4) using synthetic division.
4. Divide (3x⁴ - 2x² + 5) by (x - 2) using synthetic division.
5. The remainder theorem states that if a polynomial P(x) is divided by (x - c), then the remainder is P(c).
True
False
6. Synthetic division can be used to divide a polynomial by any linear factor (ax + b).
True
False
7. When a polynomial is divided by a linear factor and the remainder is zero, the linear factor is a of the polynomial.
8. The process of dividing polynomials is similar to long division of .
9. Which of the following is a factor of x³ - 7x + 6?
(x + 1)
(x + 2)
(x - 1)
(x - 3)
10. What is the quotient when (x² - 5x + 6) is divided by (x - 2)?
x - 3
x + 3
x - 2
x + 2