Common+Factors

Open this file and save it to your laptop for today's lesson notes.  Now attempt the questions below. 1. Complete the following expansions.   2. Factorise by taking out the highest common factor (HCF).  3. Factorise completely.  4. Factorise by taking out the negative common factor.  Now watch this tutorial from MathsOnline for some examples of grouping in pairs, which will appear the next lesson. Grouping In Pairs I Here are some extension questions for fast finishers. 5. Factorise each of the following. <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;"> <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">6. Examine this example. <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">If 3(x + 2) - a(x + 2) is to be factorised, then (x + 2) is common to both terms, so it may be taken out as a common factor: <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">i.e. 3(x + 2) - a(x + 2) = (x + 2)(3 - a)   <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">Similarly x(a + 1) + (a + 1) = x(a + 1) + 1(a+ 1) = (a + 1)(x + 1) <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">Now factorise these similar types. <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;"> <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">7. Factorise fully the following algebraic expressions. <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;"> <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Now watch another clip of grouping in pairs from MathsOnline. <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Grouping In Pairs II
 * __<span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Common Factors __** <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Watch this tutorial from MathsOnline which demonstrates how to find a common factor. <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Common Factor