1. Multiplying PolynomialsMultiplying Polynomials
by Monomials withby Monomials with
Algebra TilesAlgebra Tiles
12.3 Multiplying Polynomials by Monomials

2. Multiplying a Polynomial by a MonomialMultiplying a Polynomial by a Monomial
3(x + 4)
3x + 12

3. Multiplying a Polynomial by a MonomialMultiplying a Polynomial by a Monomial
x(x + 3)
x2
+ 3x

4. Multiplying a Polynomial by a MonomialMultiplying a Polynomial by a Monomial
Model the following:
x(x + 5)
◦ x2
+ 5x
2x(2x + 3)
◦ 4x2
+ 6x
-3x(2x + 1)
◦ -6x2
– 3x
-4x(x – 3)
◦ -4x2
+ 12x

5. Multiplying a Polynomial by a MonomialMultiplying a Polynomial by a Monomial
Model the following:
2(x + 5)
◦ 2x + 10
4(3x + 1)
◦ 12x + 4
-3(2x + 2)
◦ -6x – 6
-5(-x – 2)
◦ 5x + 10

6. Multiplying a Polynomial by a MonomialMultiplying a Polynomial by a Monomial
Model the following:
2(x + 5)
◦ 2x + 10
4(3x + 1)
◦ 12x + 4
-3(2x + 2)
◦ -6x – 6
-5(-x – 2)
◦ 5x + 10