Lesson 1: Multiplying Binomials
Module 3: Polynomials Connect
Lesson Assessment
Complete the lesson quiz posted under the Assess tab or by using the Quizzes link under the Assess tab. Also, ensure your work in your binder (course folder) is complete.
Project Connection **NOT ASSIGNED**
In Lesson 1 you discovered how to multiply binomials by multiplying each term of one binomial with each term of the second binomial. One way to do this is to use a multiplication array. Individual products are organized in the array and then reassembled into the final result.
A word square is a cipher that is analogous to the process of multiplying polynomials. Letters, instead of monomials, are arranged in a square formation in a word square. The letters are then reassembled into a ciphertext that appears random.
To demonstrate how a word square works, imagine that you want to encipher the message “I LIKE POLYNOMIALS.”
Step 1: Write the letters of the message in a 4 × 4 square, working downward in columns. Proceed from the left column to the right column.
Step 2: Write the words that appear across each row to reveal the encryption:
IEYI LPNA IOOL KLMS
You can decipher this code by executing the same steps in the reverse order. Place the letters into a square, but arrange the letters across each row. The message is revealed by reading down each column from left to right.
Now go to the Unit 2 Project and complete your Module 3: Lesson 1 component.
Going Beyond