
Synthetic Division and Rational Root Theorem

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Thomas White
FREE Resource
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in synthetic division?
Set the divisor equal to zero to find the root.
Multiply the coefficients directly.
Add the coefficients together.
Divide the coefficients by the divisor.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In synthetic division, what do you do after bringing down the first coefficient?
Ignore it and move to the next step.
Subtract it from the next coefficient.
Divide it by the root.
Multiply it by the root and add to the next coefficient.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of synthetic division when the remainder is zero?
The polynomial has no real roots.
The divisor is a factor of the polynomial.
The divisor is not a factor of the polynomial.
The polynomial is prime.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main difference between synthetic and long division?
Synthetic division is faster and simpler for linear divisors.
Long division is only for quadratic divisors.
Long division is faster than synthetic division.
Synthetic division can only be used for polynomials with even degrees.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In long division, what do you do after multiplying the divisor by the current term?
Divide the result by the next term.
Multiply the result by the next term.
Add the result to the current dividend.
Subtract the result from the current dividend.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does Descartes' Rule of Signs help determine?
The number of positive and negative real zeros.
The leading coefficient of the polynomial.
The degree of the polynomial.
The constant term of the polynomial.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you apply Descartes' Rule of Signs to find negative real zeros?
Replace x with -x and count sign changes.
Count the number of terms in the polynomial.
Divide the polynomial by x.
Multiply all coefficients by -1.
Create a free account and access millions of resources
Similar Resources on Wayground
11 questions
Dividing Polynomials: Key Concepts and Techniques

Interactive video
•
9th - 12th Grade
11 questions
Dividing Polynomials with Synthetic Division: Handling Missing Terms

Interactive video
•
8th - 12th Grade
11 questions
Exploring Rational Root Theorem and Descartes' Rule of Signs

Interactive video
•
9th - 12th Grade
11 questions
Understanding Polynomial Factors

Interactive video
•
9th - 12th Grade
11 questions
Understanding Parabolas and Synthetic Division

Interactive video
•
8th - 12th Grade
8 questions
Master how to find all of the zeros of a polynomial when given two irrational zeros

Interactive video
•
11th Grade - University
11 questions
Synthetic Division Concepts and Techniques

Interactive video
•
9th - 12th Grade
11 questions
Understanding Polynomial Zeros

Interactive video
•
9th - 12th Grade
Popular Resources on Wayground
10 questions
Video Games

Quiz
•
6th - 12th Grade
20 questions
Brand Labels

Quiz
•
5th - 12th Grade
15 questions
Core 4 of Customer Service - Student Edition

Quiz
•
6th - 8th Grade
15 questions
What is Bullying?- Bullying Lesson Series 6-12

Lesson
•
11th Grade
25 questions
Multiplication Facts

Quiz
•
5th Grade
15 questions
Subtracting Integers

Quiz
•
7th Grade
22 questions
Adding Integers

Quiz
•
6th Grade
10 questions
Exploring Digital Citizenship Essentials

Interactive video
•
6th - 10th Grade
Discover more resources for Mathematics
12 questions
Graphing Inequalities on a Number Line

Quiz
•
9th Grade
15 questions
Two Step Equations

Quiz
•
9th Grade
15 questions
Slope

Lesson
•
7th - 9th Grade
15 questions
Solving Literal Equations

Quiz
•
8th - 9th Grade
12 questions
Absolute Value Equations

Quiz
•
9th Grade
10 questions
Decoding New Vocabulary Through Context Clues

Interactive video
•
6th - 10th Grade
20 questions
Parallel lines and transversals

Quiz
•
9th - 12th Grade
10 questions
Solving Absolute Value Equations

Quiz
•
9th Grade