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Polynomial synthetic division
- Lesson: 17:46
- Lesson: 2a27:59
- Lesson: 2b8:24
Polynomial synthetic division
Synthetic division is a shortcut method of dividing polynomials as opposed to long division. Yet, this method can only be used when we are dividing a liner expression and the leading coefficient is a 1.
Basic Concepts: Polynomial long division, Simplifying rational expressions and restrictions, Dividing rational expressions, Dividing functions
Related Concepts: Integration of rational functions by partial fractions
Lessons
Synthetic division by (x−b)

- 1.Synthetic division by (x−b)
(4x6−5x3+x2−9)÷(x−3)
i) Operate synthetic division
ii) Write the division statement
- 2.Synthetic division by (ax−b)
Operate synthetic division and write the division statement.a)(8x3−14x2+7x−1)÷(2x−5)b)(29x3−12x4−x) ÷ (5−3x)
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3.
Polynomial Functions
3.1
What is a polynomial function?
3.2
Polynomial long division
3.3
Polynomial synthetic division
3.4
Remainder theorem
3.5
Factor theorem
3.6
Rational zero theorem
3.7
Characteristics of polynomial graphs
3.8
Multiplicities of polynomials
3.9
Imaginary zeros of polynomials
3.10
Determining the equation of a polynomial function
3.11
Applications of polynomial functions
3.12
Solving polynomial inequalities
3.13
Fundamental theorem of algebra
3.14
Descartes' rule of signs