Mini Lesson Question
Multiplying Binomials
You can multiply polynomials using the distributive property.
Example 1
Multiply using the distributive property.
Step 1 - Multiply each term in the first binomial by the second binomial.
Step 2 - Use the distributive property to eliminate the parentheses.
Step 3 - Combine like terms.
There is a pattern when multiplying two polynomials that are binomials.
- The first term in the result is the product of the first terms in each binomial.
- The second and third terms are the product of multiplying the two outer terms and then the two inner terms.
- The last term results from multiplying the two last terms.
The method “First, Outer, Inner, Last” is abreviated as FOIL. It represents multiplying the First terms, Last terms, Inner terms, and Last terms of the binomials. The word “FOIL” is easy to remember and ensures you find all four products.
Example 2
Multiply using FOIL.
Step 1 - Multiply the First terms, Outer terms, Inner terms, and Last terms.
Step 2 - Combine like terms.
Example 3
Multiply using FOIL.
Step 1 - Multiply the First terms, Outer terms, Inner terms, and Last terms.
Step 2 - Combine like terms.
Try it
Try It: Multiplying Binomials
Multiply using FOIL.
Here is how to multiply (7x+1)(2x-3) using FOIL.
Step 1
Multiply the First terms, Outer terms, Inner terms, and Last terms.
14x^2-21x+2x-3
Step 2
Combine like terms.
14x^2-19x-3
Check Your Understanding
Multiply the binomials.
Multiple Choice:
Take a moment to think about what you learned in the mini-lesson review.
Video: Multiplying Binomials
Watch the following video to learn more about multiplying binomials.
Khan Academy: Multiplying Binomials