Day 3: Expanding and Common Factoring Unit 4: Algebra of Quadratics

Learning Goals To be able to expand brackets To be able to common factor

Expanding Brackets a) 3(𝑥−7) b) 2𝑥(4𝑥−3)

Expanding Brackets Blitz Fastest to correctly complete the first column wins a prize!

Expanding Binomials (𝑥+𝑠)(𝑥+𝑡) Multiply both of the terms in the first binomial by each of the terms in the second binomial F irst O utside I nside L ast Simplify the expression by collecting the like terms

Examples 1) (𝑥 + 2)(𝑥 + 3) 2) (𝑎 + 5)(𝑎 – 4)

Identifying Factors & Finding Greatest Common Factor You have15 minutes!

Common Factoring The opposite of expanding Expanding: 5 𝑥−2 =5𝑥−10 Find the greatest common factor of all terms

State the GCF of each pair. a) 6 𝑎 3 𝑎𝑛𝑑 9𝑎 What is the GCF for 6 and 9? What is the GCF for 𝑎 3 and 𝑎?

State the GCF of each pair. b) −2 𝑥 4 𝑦 4 𝑎𝑛𝑑 8 𝑥 3 𝑦 5 What is the GCF for −2 and 8? What is the GCF for 𝑥 4 and 𝑥 3 ? What is the GCF for 𝑦 4 and 𝑦 5 ?

Factor fully. a) 7 𝑥 2 −14𝑥+21 b) 6 𝑑 3 +3 𝑑 2 −18𝑑

How to Factor: Find the highest number that divides evenly into the number of each term For each letter common to every term, use the lowest exponent Divide each term by the number found in step 1 Subtract the exponent in each term (for each letter) from the exponent found in step 2

Factor fully. c) 4 𝑘 4 −12 𝑘 2 +8𝑘 d) 3 𝑥−1 +4𝑦(𝑥−1)

Factor fully. e) 5𝑚𝑦−𝑡𝑚+5𝑛𝑦+𝑡𝑛

Success Criteria I CAN expand brackets I CAN find the common factor

To Do… Finish earlier worksheets Worksheet Check the website daily for updates, missed notes, assignment solutions www.mrsmccrum.weebly.com