Synthetic Substitution Practice Worksheet
Practice worksheet for synthetic substitution, suitable for grade 9 algebra students.
Includes
Standards
Topics
Synthetic Substitution Practice
Name:
Date:
Score:
Use synthetic substitution to evaluate the following polynomials at the given value. Show all your work.
1. Evaluate P(x) = 2x³ - 5x² + 4x - 10 for x = 3.
2. Find P(-2) for P(x) = x⁴ + 3x³ - 7x - 5.
When using synthetic substitution for P(x) = 3x⁵ - 2x³ + x - 7, the coefficients in order are: 3, 0, , 0, , -7.
For P(x) = x⁶ - 5x⁴ + 2x² - 1, the coefficients are: 1, , -5, , 2, , -1.
3. If P(x) = x³ - 6x² + 11x - 6 and P(1) = 0, which of the following is a factor of P(x)?
(x + 1)
(x - 1)
(x + 6)
(x - 6)
4. What is the remainder when x⁴ - 8x² + 6 is divided by (x - 2)?
2
-10
-6
16
5. If P(c) = 0, then (x - c) is a factor of P(x).
True
False
6. Synthetic substitution can only be used when dividing by a linear factor of the form (x - c).
True
False
7. Given that (x - 4) is a factor of P(x) = x³ - 10x² + 29x - 20, use synthetic substitution to find the other factors.
Related Worksheets
Rationalizing Radicals Worksheet
Grade 9 Math worksheet focusing on rationalizing single and binomial denominator radicals.
Solving Square Root Equations
Practice solving square root equations with various levels of complexity. This worksheet covers isolating the radical, squaring both sides, and checking for extraneous solutions.
Zero Product Property Worksheet
Practice solving quadratic equations using the Zero Product Property for Grade 9 algebra.
Simplifying Polynomials Worksheet
Grade 9 Math worksheet focusing on simplifying polynomials through addition, subtraction, and multiplication.
Pascal's Triangle Worksheet
Explore the patterns and properties of Pascal's Triangle, including its construction, binomial coefficients, and relationships to other mathematical concepts.
Solving Three-Step Equations
This worksheet provides practice for grade 9 students in solving linear equations that require three steps.
Elimination Method Worksheet
Practice solving systems of linear equations using the elimination method for Grade 9 students.
Rearranging Equations Worksheet
A Grade 9 math worksheet focusing on rearranging algebraic equations to solve for different variables.