1. Starter – Can you perform long division? 1. Work out 2675 divided by 25 using long division 2. Work out 3875 divided by 12 using long division

2. Aims: To be able to factorise polynomials by long division. To know how to factorise polynomials by using the box method. To know how to factorise polynomials by inspection. Polynomials/Factorisation Lesson 3

3. Example Divide 6x³ + 28x² - 7x 7x + 15 by x + 5 x + 2 is the d_______ The q__________ will be here. 6x³ + 28x² - 7x + 15 is the dividend In this lesson it will be helpful if you do algebraic long division. This is the general set up: Algebraic long division

4. Check remainder correct by working out f(-5) =

5. Algebraic long division Check remainder correct by working out f( ) =

6. Try ones on the screen – link on mini w/b. 10 mins http://new.integralmaths.org/pluginfile.php/1417/mod_resource/content/2/Long Div.swf Algebraic long division

7. Algebraic long division – Box Method Check remainder correct by working out f(1) =

8. Algebraic long division – Box Method Check remainder correct by working out f( ) = Do worksheet, questions using both methods seen so far.

9. Plenary - Algebraic long ÷ Method 3 Can you think of another method you could use to solve this division sum? The __________________ method!