Multiplication
Polynomial by a Monomial
To multiply a polynomial by a monomial, we use the Distributive Property, which says: a(b + c) = ab + ac. Replacing the variables with whole numbers demonstrates how the distributive property works. Using a = 2, b = 3, and c = 4;
|
Apply the Order of Operations |
Apply the Distributive Property |
|
2 (3 + 4) = |
2 (3 + 4) = |
|
2 ? 7 = |
2 ? 3 + 2 ? 4 = |
|
14 |
6 + 8 = |
|
|
14 |
Since both methods produce the same solution, this demonstrates that the Distributive Property works.