1. Multiplying Polynomials
Distributing a
Monomial * Polynomial

2. Distributing
When we distribute, we multiply one term to all of the terms in a group.
Distribute: (3x + 4y + 10)
Multiply: •3x + 5•4y + 5•10)
15x + 20y + 50
Note: After we distribute, we don’t combine the terms because they are not like terms!

3. Distributing with Exponents
The terms in this example have exponents.
3x2(4x2+2x+5) = 3x2•4x2 + 3x2•2x + 3x2•5
Remember the rule for multiplying terms with exponents?
Multiply the coefficients, add the exponents.
3x2•4x2 + 3x2•2x + 3x2•5 = 12x x x2
12x4 + 6x3 + 15x2

4. a monomial times a polynomial.
Monomial*Polynomial
When we distribute, whether it’s a constant or a term with variables, we are multiplying
a monomial times a polynomial.
For example:

5. Monomial*Polynomial
Multiply these monomials and polynomials: