MathIsimple

Polynomial Operations

Master adding, subtracting, and multiplying polynomials! Learn the FOIL method and distributive properties to manipulate polynomial expressions.

9th Grade
Algebra
~60 min
🎮 Interactive Activity: Polynomial Adder

Add polynomials by combining like terms!

Polynomial 1:

3x² + 2x + 1
+

Polynomial 2:

x² - 4x + 5
🎮 Interactive Activity: FOIL Method

Multiply binomials using the FOIL method!

Expression:

(2x + 3)(1x + 4)

Expanded Form:

?
1. What Are Polynomials?

Polynomial Definition

A polynomial is an expression with one or more terms, where each term is a constant multiplied by variables raised to non-negative integer powers.

Example: 3x² - 5x + 2

Term 1: 3x² (coefficient 3, degree 2)

Term 2: -5x (coefficient -5, degree 1)

Term 3: 2 (constant term, degree 0)

Degree: The highest power is 2, so this is a 2nd-degree polynomial (quadratic).

2. Adding Polynomials
3. Subtracting Polynomials
4. Multiplying Polynomials
Frequently Asked Questions

Practice Time!

Practice Quiz
10
Questions
0
Correct
0%
Score
1
Add: (3x² + 2x + 1) + (x² - 4x + 5)
2
Subtract: (5x² + 3x - 2) - (2x² - x + 4)
3
Multiply: (2x + 3)(x + 4)
4
Multiply: (x - 2)(x - 5)
5
What is the degree of 4x³ + 2x² - x + 1?
6
Add: (3x + 5) + (2x - 3)
7
Multiply: 3(x² + 2x - 1)
8
What is (x + 1)(x + 1)?
9
Subtract: (4x² - 3x) - (x² + 2x)
10
Multiply: (2x - 1)(3x + 2)