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Mathematics 10
Algebra and Number
8. Demonstrate understanding of common factors and trinomial factoring concretely, pictorially, and symbolically
8.11 Evaluating polynomials
Evaluating Polynomials
Substitute a value for the variable, then simplify using order of operations.
What You'll Learn
Evaluating a polynomial means substituting a value for the variable, then simplifying.
Follow order of operations: exponents, then multiplication, then addition/subtraction.
Example: 2x squared minus 3x plus 1 at x=4 equals 21.
Wrap a negative substitution in parentheses before simplifying.
A skipped order-of-operations step gives a wrong answer even with correct substitution.
What You'll Practice
1
Substituting single values into quadratic and cubic polynomials
2
Evaluating expressions with negative numbers and exponents
3
Working with multi-variable polynomials using given values
4
Applying PEMDAS to simplify polynomial expressions with fractions
Why This Matters
Evaluating polynomials is essential for graphing functions, solving real-world problems, and understanding advanced algebra. This skill builds your foundation for calculus, physics, and engineering where you'll constantly substitute values into formulas and equations.
Before You Start — Make Sure You Can:
This Unit Includes
5 Video lessons
Practice exercises
Learning resources
Skills
Polynomials
Substitution
Order of Operations
PEMDAS
Exponents
Simplification
Multi-variable Expressions
NS Curriculum Aligned