Question

12xx-7x+1

give me answer please
std 10
ch-2
ex2.2​

Answer 1

Step-by-step explanation:

Let us try factorizing this polynomial using splitting the middle term method.

Factoring polynomials by splitting the middle term:

We need to find two numbers ‘a’ and ‘b’ such that a + b =-7 and ab = 12.

On solving this we obtain, a = 4 and b = 3

Thus, the above expression can be written as:

12x2 -7x + 1

= 12x2 – 4x – 3x + 1

= 4x(3x – 1) -1 (3x – 1)

= (3x -1)(4x – 1)

Thus, 3x – 1 and 4x – 1 are the factors of the polynomial 12x2 -7x + 1.

Answer 2

(3x - 1 ) (4x - 1 ) is the correct answer.

12xx - 7x + 1

12xx - 4x - 3x + 1

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

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