Dividing polynomials using long division
👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the zeros and hence one of the factors and then divide the original polynomial with the factor obtained to get the remaining factors.
To divide a polynomial using the long division algorithm, we continuosly divide the polynomial (dividend) with the term having the highest power on the variable(s) in the divisor to get the quotient. We will then multiply all the terms of the divisor by the quotient and subtract the result from the dividend. The result is divided again by the term having the highest power in the variable in the divisor to get another term of the quotient. This process is repeated until the term having the highest power of the variable in the divisor can no longer divide into the dividend.
The result after subtracting the product of the last term of the quotient and the divisor from the remaining part of the dividend is the the remainder when the divisor divides the original polynomial. If the remainder is zero, then the divisor is a factor of the original polynomial.
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Organized Videos:
✅Divide Polynomials using Long Division
Divide Polynomials using Long Division
✅Divide Polynomials using Long Division with four terms
Divide Polynomials using Long Divisio...
✅Divide Polynomials using Long Division with five terms
Divide Polynomials using Long Divisio...
✅Divide Polynomials using Long Division with missing terms
Divide Polynomials using Long Divisio...
✅Divide Polynomials using Long Division with monomial divisor
Divide Polynomials using Long Divisio...
✅Divide Polynomials using Long Division with quadratic divisor
Divide Polynomials using Long Divisio...
✅Divide Polynomials using Long Division with linear binomial divisor
Divide Polynomials using Long Divisio...
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👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/
#polynomials #brianmclogan
To divide a polynomial using the long division algorithm, we continuosly divide the polynomial (dividend) with the term having the highest power on the variable(s) in the divisor to get the quotient. We will then multiply all the terms of the divisor by the quotient and subtract the result from the dividend. The result is divided again by the term having the highest power in the variable in the divisor to get another term of the quotient. This process is repeated until the term having the highest power of the variable in the divisor can no longer divide into the dividend.
The result after subtracting the product of the last term of the quotient and the divisor from the remaining part of the dividend is the the remainder when the divisor divides the original polynomial. If the remainder is zero, then the divisor is a factor of the original polynomial.
👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianm...
❤️Support my channel by becoming a member: @brianmclogan
🙋♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7
🎉Follow the Community: mrbrianmclogan
Organized Videos:
✅Divide Polynomials using Long Division
Divide Polynomials using Long Division
✅Divide Polynomials using Long Division with four terms
Divide Polynomials using Long Divisio...
✅Divide Polynomials using Long Division with five terms
Divide Polynomials using Long Divisio...
✅Divide Polynomials using Long Division with missing terms
Divide Polynomials using Long Divisio...
✅Divide Polynomials using Long Division with monomial divisor
Divide Polynomials using Long Divisio...
✅Divide Polynomials using Long Division with quadratic divisor
Divide Polynomials using Long Divisio...
✅Divide Polynomials using Long Division with linear binomial divisor
Divide Polynomials using Long Divisio...
🗂️ Organized playlists by classes here: mrbrianmclogan
🌐 My Website - http://www.freemathvideos.com
🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-ca...
Connect with me:
⚡️Facebook - Facebook: freemathvideos
⚡️Instagram - Instagram: brianmclogan
⚡️Twitter - Twitter: mrbrianmclogan
⚡️Linkedin - LinkedIn: brian-mclogan-16b43623
👨🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclog...
👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/
#polynomials #brianmclogan
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