

3.1 Alg 2 Polynomial Long Division
Presentation
•
Mathematics
•
9th Grade
•
Medium
Standards-aligned
Adrienne Carter
Used 47+ times
FREE Resource
28 Slides • 10 Questions
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3.1 Alg 2 Polynomial Long Division

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What did we do with the remainder in writing the final answer?
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What does it mean if there is a remainder?
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What does it mean if there is NO REMAINDER?
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Now we are going to apply this idea to POLYNOMIAL DIVISION. Here are the steps:
Step 1: Set up the problem. Are polynomials in standard form? is a placeholder needed?
Step 2: Divide, and write something on top
Step 3: Multiply by what is outside
Step 4: Subtract
Repeat until you cannot divide any longer.
Write final answer in proper format (if there is a remainder).
***If there is no remainder, that means the divisor is a factor of the dividend BUT IF THERE IS a remainder, the divisor IS NOT A FACTOR of the dividend.
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Multiple Choice
When dividing polynomials, if there IS NO remainder, then
The divisor is a factor of the polynomial
The divisor is not a factor of the polynomial
The polynomials don't work
Then it is not a polynomial
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Multiple Choice
When dividing polynomials, if there IS a remainder, then
The divisor is a factor of the polynomial
The divisor is not a factor of the polynomial
The polynomials don't work
Then it is not a polynomial
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Multiple Choice
The divisor, (x-3) is a factor of the polynomial.
True
False
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Multiple Choice
The divisor,
x2−2x+1 is a factor of the polynomial.
True
False
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Here are the steps for polynomial long division:
Step 1: Set up the problem, Are polynomials in standard form? is a placeholder needed?
Step 2: Divide, and write something on top
Step 3: Multiply by what is outside
Step 4: Subtract
Repeat until you cannot divide any longer.
Write final answer in proper format (if there is a remainder).
***If there is no remainder, that means the divisor is a factor of the dividend BUT IF THERE IS a remainder, the divisor IS NOT A FACTOR of the dividend.
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Multiple Choice
What is the first step in polynomial long division?
Subtract
Multiply by the outside terms
Divide and put something on top
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Multiple Choice
What is the second step in polynomial long division?
subtract
multiply by the outside terms
divide and put something on top
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Multiple Choice
What is the next step in long division?
Put something up top (after you divide), Multiply by the outside terms, and then...
Bring the next thing down
Add the terms
Start Over
Subtract the terms
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Multiple Choice
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Multiple Choice
Is this problem worked correctly?
This is correct
This is incorrect
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Here are the steps for polynomial long division:
Step 1: Set up the problem, Are polynomials in standard form? is a placeholder needed?
Step 2: Divide, and write something on top
Step 3: Multiply by what is outside
Step 4: Subtract
Repeat until you cannot divide any longer.
Write final answer in proper format (if there is a remainder).
***If there is no remainder, that means the divisor is a factor of the dividend BUT IF THERE IS a remainder, the divisor IS NOT A FACTOR of the dividend.
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Multiple Choice
What should you add when setting up this problem?
(2x3 + 5x2 + 9) ÷ (x + 3)
0x4
0x3
0x2
0x
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Here are the steps for polynomial long division:
Step 1: Set up the problem, Are polynomials in standard form? is a placeholder needed?
Step 2: Divide, and write something on top
Step 3: Multiply by what is outside
Step 4: Subtract
Repeat until you cannot divide any longer.
Write final answer in proper format (if there is a remainder).
***If there is no remainder, that means the divisor is a factor of the dividend BUT IF THERE IS a remainder, the divisor IS NOT A FACTOR of the dividend.
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BREAKOUT ROOM...
TAKE A PICTURE OF THE NEXT PROBLEM AND WORK ON IT WITH YOUR PARTNER. Be prepared to answer qustions about the problem when I visit or when we come back together.
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Time to Practice!
IXL: Lesson L4
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3.1 Alg 2 Polynomial Long Division

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