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# Solving quadratics by factorising

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## Mr Mattock

on 4 July 2016

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#### Transcript of Solving quadratics by factorising

Solving factorised quadratics
Starter
Write down all pairs of numbers
a
and
b
so that:

(a) a x b = 12

(b) a x b = 20

(c) a x b = 60

(d) a x b = 0
Activity
Solve the factorised quadratics on the sheet.
Solving factorised quadratic equations
x(x - 2) = 0

(x + 2)(x - 3) = 0

2x(x + 3) = 0

(2x - 3)(3x + 2) = 0
L.O. - To solve quadratics that are factorised.
Starter
Write down all pairs of numbers
a
and
b
so that:

(a) a x b = 12 YOU CANT

(b) a x b = 20 YOU CANT

(c) a x b = 60 YOU CANT

(d) a x b = 0 either
a
= 0 or
b
= 0
Solving factorised quadratic equations
x(x - 2) = 0

(x + 2)(x - 3) = 0

2x(x + 3) = 0

(2x - 3)(3x + 2) = 0
x = 0 and x - 2 = 0
x = 0 and x = 2
x + 2 = 0 and x - 3 = 0
x = -2 and x = 3
2x = 0 and x + 3 = 0
x = 0 and x = -3
2x - 3 = 0 and 3x + 2 = 0
x = 3/2 and x = -2/3
Activity
Solve the factorised quadratics on the sheet.
(1) n = -5 and n = 7
(2) n = - 6
(3)t = - 3 and t = - 5
(4) t = - 4
(5) m = - 4
(6) m = - 10 and m = 2
(7) b = - 3 and b = 7
(8) b = 2
(9) w = 3 and w = - 27
(10) w = - 9 and w = 9
(11) n = - 3
(12) n = - 3
(13) f = - and f = -

(14) f = - and f = -

(15) t = and t = 1
(16) t=

2
5
1
6
2
15
1
2
3
5
4
5
Plenary
Expand the following:

(a) x(x - 3)

(b) 2x(4 - x)

(c) (x + 2)(x - 3)

(d) (x - 5)(x - 7)
Plenary
Expand the following:

(a) x(x - 3)
= x - 3x

(b) 2x(4 - x)
= 8x - 2x

(c) (x + 2)(x - 3)
= x - x - 6

(d) (x - 5)(x - 7)
= x -12x + 35
2
2
2
2
Activities
Activity
Answers

Key
Examples

Worked
Example
Full transcript