
Dividing Polynomials with Long Division
Presentation
•
Mathematics
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10th - 12th Grade
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Hard
Standards-aligned
Tanner Howell
Used 2K+ times
FREE Resource
15 Slides • 8 Questions
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Dividing Polynomials with Long Division
by Tanner Howell
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Poll
How are you feeling?
5 - Positive, Well
3 - Neutral, I'm here
1 - Negative, Unwell
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Multiple Choice
Dividing polynomials requires that your dividend be written both in standard form and such that no variable is missing between the largest and smallest exponent (in descending order). You must insert placeholders (zeroes) if a term(s) is missing in your dividend. Does the polynomial 4x2+23x−16 require any placeholders?
No
Yes
There is not enough information.
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Now that you have confirmed that your dividend is written correctly, consider what your next step should be and answer the following question.
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Multiple Choice
What step should you take to begin this problem.
Divide 23x by x and write "23" above 23x.
Divide 4x2 by x and write 4x above 23x.
Divide 4x2 and 23x by x and then write your answer in order above the dividend.
Multiply -16 by x and 5 and subtract your answer from the dividend.
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Multiple Choice
After dividing 4x2 by x and writing 4x above 23x, what is the next step that you should take in solving this problem?
Divide 23x by x and write 23 above -16.
Multiply 4x by x and write 4x2 beneath 4x2 .
Multiply 4x by x and 5, then write 4x2+20 beneath 4x2+23x .
Multiply 4x by x and 5, then write 4x2+20 beneath 4x2+23 .
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Multiple Choice
The next step you should take is to "subtract." What difference will you find?
0x2+3x
8x2+43x
8x2+3x
0x2−3x
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Multiple Choice
Which selection is the final answer?
4x+3−31
4x−28
4x+3−4x+331
4x+3−x+531
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This is a separate example for you to view. Notice that the remainder is written a bit differently in this problem.
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Multiple Choice
Consider the given polynomial x2+3 . Does the polynomial require placeholders before long division can be performed? If yes, pick the correct placeholder.
No
Yes, 0x should be included.
Yes, 0x3 should be included.
Yes, 0x2 should be included.
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Multiple Choice
Perform the given division problem. What is your final answer? Take your time, and show your work. This will be graded.
x+1+x−14
x−1−x−14
x+1−x+14
x+1+x−13
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Assignment
Complete evens or odds on long division handout.
Dividing Polynomials with Long Division
by Tanner Howell
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