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Dividing the same variable when you divide two terms with a common variable. You subtract the exponent of the division. Ex)  x ³ x² = x³-² = x Ex) (2x³ + 4x² + 6x) 2x =  2x³ + 4x² + 6x 2x  2x  2x = 2x² + 2x + 3 Anything to the power of zero is always one
Simplification and Reduction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Long Division ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Divisor
Dividing polynomial with  “missing terms” ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Expression for polynomial “A” ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Problem solving ,[object Object],[object Object],[object Object],A1=  3x ² - 4x - 7 A2= 4x ² - 3x - 7 x + 1 x + 1 Find DE Find AB
The diagram above ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The same diagram ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The same diagram ,[object Object],[object Object],[object Object],[object Object]
Solving for a triangle by using Long Division ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
the same triangle ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Solving a Rectangle by using long division ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Polynomial Division: Explaining the Process and Solving Problems Using Long Division Techniques

  • 1. Dividing the same variable when you divide two terms with a common variable. You subtract the exponent of the division. Ex) x ³ x² = x³-² = x Ex) (2x³ + 4x² + 6x) 2x = 2x³ + 4x² + 6x 2x 2x 2x = 2x² + 2x + 3 Anything to the power of zero is always one
  • 2.
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