Factoring: Using the Distributive Property

Factoring: Using the Distributive Property

How to factor a polynomial by using the distributive property: examples and their solutions.

Example 1

Factor the given polynomial. x^3 + 3x^2

Write the GCF of x3 and +3x2: x2.

Inside (, write x3 ÷ x2: x.

Write +3x2 ÷ x2: +3.

This solution is the opposite of
multiplying a polynomial by a monomial.

Example 2

Factor the given polynomial. a^2 - 2ab + 4a

Write the GCF of a2, -2ab, and +4a: a.

Inside (, write a2 ÷ a: a.

Write -2ab ÷ a: -2b.

Write +4a ÷ a: +4.