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Algebra with Polynomials

Sam Morrison

Created on April 27, 2026

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Algebra with Polynomials

go!

Algebra with Polynomials

go!

Quick Review

Quadratic

Linear

Constant

Variables to the second power
Variables to the first power
Whole numbers

+ examples

+ examples

+ Examples

1 15 316

x² 7x² 972x²

x 19x 107x

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Like-Terms

5x² + 2x + 15

4x -

+ 9x²

Adding & Subtracting

f(x) = 9x² - 5x + 8

f(x) + g(x) ?

g(x) = 4x² + 8x - 13

f(x) + g(x) ?

Identify Like-Terms

f(x) = 9x² - 5x + 8

g(x) = 4x² + 8x - 13

f(x) + g(x) ?

Combine Like-Terms

9x² + 4x²

13x²

-5x + 8x

3x

8 + (-13)

-5

Write Finished Expression

f(x) + g(x) = 13x² + 3x - 5

Your Turn!

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Your Turn!

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Your Turn!

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Your Turn!

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Multiplying Linear Expressions

f(x) = 3x + 6

f(x)*g(x) ?

g(x) = 2x - 4

f(x)*g(x) ?

Box Method

3x

+6

f(x) = 3x + 6

2x

g(x) = 2x - 4

-4

f(x)*g(x) ?

Fill In Box

3x

+6

6x²

2x

12x

-4

-12x

-24

f(x)*g(x) ?

Add Box Together

6x²

12x

= 6x² + 12x - 12x - 24

-12x

-24

12x - 12x =

f(x)*g(x) ?

Write Finished Expression

f(x)*g(x) = 6x² - 24

Your Turn!

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Your Turn!

Go again ?

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Your Turn!

Go again ?

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Your Turn!

Go again ?

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