Question

Factrise:
12xsquare-7x+1​

Answer 1

Answer:

12x²-7x+1

Step-by-step explanation:

Use the sum-product pattern

1

2

2

−

7

+

1

12x^{2}{\color{#c92786}{-7x}}+1

12x2−7x+1

1

2

2

−

3

−

4

+

1

12x^{2}{\color{#c92786}{-3x}}{\color{#c92786}{-4x}}+1

12x2−3x−4x+1

2

Common factor from the two pairs

1

2

2

−

3

−

4

+

1

12x^{2}-3x-4x+1

12x2−3x−4x+1

3

(

4

−

1

)

−

1

(

4

−

1

)

3x(4x-1)-1(4x-1)

3x(4x−1)−1(4x−1)

3

Rewrite in factored form

3

(

4

−

1

)

−

1

(

4

−

1

)

3x(4x-1)-1(4x-1)

3x(4x−1)−1(4x−1)

(

3

−

1

)

(

4

−

1

)

(3x-1)(4x-1)

(3x−1)(4x−1)

Solution

(

3

−

1

)

(

4

−

1

)