Question

How to factorise 2x²-3x+1​

Answer 1

Answer:

2x²-2x-1x+1

2x(x-1)-1(x-1)

(2x-1) (x-1)

Answer 2

N 1 = 2

and  N 2 = 1  2 ⋅ 1 = 2 , and  2 + 1 = 3

2 x 2 + 3x + 1 = x 2+ 2 x41 2 x ( x +

1

)

+

1

(

x

+

1

)

(

2

x

+

1

)

(

x

+

1

)answer:

2 x 2 + 3 x + 1

We can Split the Middle Term of this expression to factorise it

In this technique, if we have to factorise an expression like  

a x 2 + b x + c

, we need to think of 2 numbers such that:

N 1 N 2 =a c = 2 ⋅1 = 2

and, N 1 + N 2 = b = 3

After trying out a few numbers we get