Divide a Polynomial by a Monomial
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Lesson Summary:
In this lesson, we learn how to divide a polynomial by a monomial by breaking up the numerator and putting each term over the monomial, then canceling out the common factors. We see examples of how to do this, including cases where there are fractions involved and where there are negative signs, and learn different methods of simplifying the expressions, including using the laws of exponents and prime factoring. By the end of the lesson, we are able to confidently divide polynomials by monomials.
Lesson Description:
Explains and shows examples of how to Divide a Polynomial by a Monomial
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you divide a polynomial by a monomial?
- What is (3x^3 + 12x^2 - 9x)/3x?
- When can you break up a polynomial over a monomial?
- What if a polynomial does not divide evenly into a monomial?
- How do you simplify (12x^3y^2 - 15xy^4 + 20x^2)/4x^2y?
- How do you divide (9x^4 - 15x^3)/-3x^2 and simplify it using the rules of exponents?
- How can you divide variables with exponents if you forget the rules?
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Staff Review
This lesson shows a bunch of examples of how to divide a polynomial by a monomial by simply breaking up each of the terms of the polynomial and putting them over the denominator. The steps are very clear and well taught.
