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Dividing Polynomials using Long Division  Problem 2
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
Long division of polynomials is done with the same basic algorithm that is used for long division of integers. Here, you look at the first term of the binomial and decide what it needs to be multiplied by in order to get the first term of the polynomial. Write that monomial on top of the division bar, multiply it by both terms of the binomial, and write your answer below the polynomial. Subtract vertically, and the first term should be eliminated. Repeat this process: look again at the first term of the binomial and decide what it needs to be multiplied by in order to get the first term of the difference. Repeat this over and over. The final value that your binomial does not multiply in to is your remainder. Here we practice how to write the final answer as quotient plus remainder over divisor.
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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
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Sample Problems (6)
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Dividing Polynomials using Long Division
Problem 1 7,081 viewsDivide:
4x⁴ + 6x³ + 3x − 1 2x² + 1 
Dividing Polynomials using Long Division
Problem 2 742 views 
Dividing Polynomials using Long Division
Problem 3 570 views 
Dividing Polynomials using Long Division
Problem 4 587 views 
Dividing Polynomials using Long Division
Problem 5 613 views 
Dividing Polynomials using Long Division
Problem 6 621 views
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