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Sam Morrison
Created on April 27, 2026
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1 15 316
x² 7x² 972x²
x 19x 107x
5x² + 2x + 15
4x -
+ 9x²
f(x) = 9x² - 5x + 8
f(x) + g(x) ?
g(x) = 4x² + 8x - 13
9x² + 4x²
x²
13x²
-5x + 8x
3x
8 + (-13)
-5
f(x) + g(x) = 13x² + 3x - 5
Next
Go again ?
f(x) = 3x + 6
f(x)*g(x) ?
g(x) = 2x - 4
+6
2x
-4
6x²
12x
-12x
-24
= 6x² + 12x - 12x - 24
12x - 12x =
f(x)*g(x) = 6x² - 24
Algebra with Polynomials
Sam Morrison
Created on April 27, 2026
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Transcript
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
Sort the Cards
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
x²
13x²
-5x + 8x
3x
8 + (-13)
-5
Write Finished Expression
f(x) + g(x) = 13x² + 3x - 5
Your Turn!
Next
Your Turn!
Go again ?
Next
Your Turn!
Go again ?
Next
Your Turn!
Go again ?
Next
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!
Next
Your Turn!
Go again ?
Next
Your Turn!
Go again ?
Next
Your Turn!
Go again ?
Next
Joke Sheet
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