Question

factorise (1)

12x²-7x+1
​

Answer 1

Answer:

12 x ² - 7x +1

5x² +1

hope this will help you

Answer 2

Answer:

Factorise: 12x²- 7x + 1

12x² -7x + 1

Solution

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.