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Solving quadratics by factorising

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by

Mr Mattock

on 4 July 2016

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Transcript of Solving quadratics by factorising

Solving Quadratics by factorising
Starter
Expand the following expressions:

(a) x(x - 4)

(b) (x - 4)(x + 2)

(c) (x - 3)(x + 3)
Factorising to solve quadratics
Solve the equations:

(a) x - 4x = 0

(b) x - 2x = 8

(c) x - 9 = 0
Starter
Expand the following expressions:

(a) x(x - 4)
= x - 4x

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

(c) (x - 3)(x + 3)
= x - 9
2
2
2
2
2
2
Factorising to solve quadratics
Solve the equations by factorising:

(a) x - 4x = 0

(b) x - 2x - 8 = 0

(c) x - 9 = 0
2
2
2
x(x - 4) = 0
x= 0 and x - 4 = 0
x = 0 and x = 4
(x - 4)(x + 2) = 0
x - 4 = 0 and x + 2 = 0
x = 4 and x = -2
(x - 3)(x + 3) = 0
x - 3 = 0 and x + 3 = 0
x = 3 and x = - 3
Activity
Which of these equations has only one distinct solution?
Activity
Which of these equations has only one distinct solution?
Rearrange and then solve these quadratics.
x = -4, x = 3




x = - 6
x = 3, x = -3
x = 4
x = 7, x = 4
x = -15, x = -3
f = 8, f = 2
d = -13, d = -1
b = 12, b = -3
n= -1, n = -
Key
Examples

Activity
Answers

Worked
Example

Activities
Solve quadratic equations by factorising.
Activity
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
Rearrange and then solve these quadratics.
Activity
Write down all pairs of numbers
a
and
b
so that:

(a) a x b = 12 Can't.

(b) a x b = 20 Can't.

(c) a x b = 60 Can't.

(d) a x b = 0 a = 0, b = 0.
11
2
Full transcript