Question

factorise
$x ^{2} - x - 132$
​

Answer 1

1

Use the sum-product pattern

2−1

3

2

2

+

1

1

−

1

2

−

1

3

2

2

Common factor from the two pairs

2

+

1

1

−

1

2

−

1

3

2

(

+

1

1

)

−

1

2

(

+

1

1

)

3

Rewrite in factored form

(

+

1

1

)

−

1

2

(

+

1

1

)

(

−

1

2

)

(

+

1

1

)

Answer 2

${ \huge{ \underbrace{ \pink{Answer:}}}}$

__________________________

x²-x-132 = 0

On mid term splitting :

x²-12x+11x-132 = 0

x(x-12)+11(x-12) = 0

(x+11)(x-12) = 0

x²-x-132 = (x+11)(x-12)