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Double bracket factorisation

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by

Mr Mattock

on 17 November 2017

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Transcript of Double bracket factorisation

Double Bracket Factorisation
Starter
Expand the following expressions:

(x - 5)(x + 7)

(x - 3)(x + 3)
Factorising Quadratics
x - 4x -5


x - 81
L.O. - To recognise when a quadratic factorises 2 brackets, and complete the factorisation.
2
First to 15
2x(4x - 5) 3x(3x - 4) 3x(2y - 3x) 2r(4t + 3r) 6c(3c - 4b)

(x-9)(x+8) (x-6)(x+2) (x+7)(x+9) (x+16)(x-9) (x-7)(x-3)

(x-3)(x+3) (x-10)(x+10) (x-6)(x+6) (x-12)(x+12) (2x-7)(2x+7)
2
Starter
Expand the following expressions:

(x - 5)(x + 7) = x + 2x - 35

(x - 3)(x + 3) = x - 9
2
2
Factorising Quadratics
x - 4x -5



x - 81
2
2
(x - 5)(x + 1)
(x + 9)(x - 9)
Main Activity 1
Match the quadratics with their
factorised form.
Main Activity 1
Match the quadratics with their
factorised form.
Plenary
Plenary
Key
Examples

Activities
Activity
Answers

Worked
Example

x - bx
ab
x
x
2
a
b
ax - ab
bx
x - bx + ax - ab

-b + a = 4
ab = 5
x - bx
2
ax - ab
x
b
a
bx
ab
x - bx + ax - ab

-b + a = 0
ab = 81
x
Factorising Quadratics
x + 7x + 12


x - 3x + 2
2
2
Factorising Quadratics
x + 7x + 12


x - 3x + 2
2
2
x
x
a
b
x
ax
bx
ab
x + ax + bx + ab

a + b = 7
ab = 12
2
2
x
x
a
b
ab
ax - ab
x - ax -
(bx - ab)
bx - ab
2
x - ax - bx + ab

- a - b = - 3
ab = 2
2
Worked
Example
Full transcript