Multiplying Monomials by Polynomials

Some polynomials, when multiplied, result in a special product. Sal uses the distributive property to demonstrate the multiplication process. He then explains why some polynomials cannot be completely simplified.

Sal takes polynomial equations in the other direction with this video where he shows how to factor them instead of adding or multiplying them. He has two goals in this activity: first, to show how to factor polynomial equations, and then...

Without ever relying on the FOIL trick, this presentation carefully walks young algebrists through multiplying binomials by a monomial and by each other. Examples start easy, but move into complicated pairings of coefficients, positives...

Adding two polynomials begins with simplifying when possible. Sal demonstrates the process he uses to combine like terms and explains why the process works. This video would be great for those who need a quick refresher.

Split the division up into segments. A helpful video works three different division problems involving polynomials and monomials. Pupils see how to divide each term separately by the monomial and then combine the individual quotients in...

An interactive shows graphically the distribution of a monomial across all the terms in a polynomial multiplication problem. Pupils relate the specific example to a more general problem then make conclusions to develop a pattern for...

Multiply two monomial rational expressions and then rewrite the solution in simplest form. Multiplying seems straightforward, but what about the reducing part? Find the greatest common factor. Then divide the numerator by the GCF, and...

Length times width times height. Yes, the formula for the volume of a rectangular shape. But the values are monomials. Use the knowledge you have to multiply the monomials and then write it in simplest form.

Learn how to divide algebraic fractions by multiplying. What?! Yes, It's just like dividing regular fractions where you use the reciprocal of the second fraction and then multiply. Watch this video and see just how it's done.

Use prime factorization to find the greatest common factor of four given values. What are the factors that all four given values have in common? Identify them, and then multiply together to get the greatest common factor. Just like that....