Process of Synthetic Division Examples and Practice Problems

Examples:

1. $(x^3-2x^2+2x+5)\div(x+1)$

Answer

$x^2-3x+1$

2. $(4x^4-2x^3-15x^2+81x+6)\div(x+3)$

Answer
$4x^3-14+27x-\displaystyle{\frac{6}{x+3}}$

3. $(x^3-3x+10)\div(x-2)$

Answer
$x^2+2x+1+\displaystyle{\frac{12}{x-2}}$

4. $(2x^3+5x^2+10x+6)\div(2x+1)$

Answer
$x^2-2x+2$
Let’s take a quiz!

Perform the following:

1. $(x^4-8x^3+10x^2+2x+4)\div(x-2)$
2. $(3x^3-4x^2-17x+6)\div(3x-1)$
Answers to Quiz

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MathHub

Tutorial and Review Center

TUTORIAL PROGRAMS

One-on-one Tutorials

Group Tutorials

Singapore Math Program

Advancement Program

REVIEW PROGRAMS

College Entrance Test Review

Senior High School Entrance Exam Review

Science High School Entrance Exam Review

Civil Service Exam Review

ONLINE COURSES

Senior High School Entrance Exam Review

Science High School Entrance Exam Review

Civil Service Exam Review