Question

10. Factorise : 3x2 - 5x - 22.​

Answer 1

Answer:

3

2

−

5

−

2

2

3x^{2}-5x-22

3x2−5x−22

Grouping

1

Use the sum-product pattern

3

2

−

5

−

2

2

3x^{2}{\color{#c92786}{-5x}}-22

3x2−5x−22

3

2

+

6

−

1

1

−

2

2

3x^{2}+{\color{#c92786}{6x}}{\color{#c92786}{-11x}}-22

3x2+6x−11x−22

2

Common factor from the two pairs

3

Rewrite in factored form

Solution

(

3

−

1

1

)

(

+

2

)