Question

Factorise - 12x² - 7x + 1

Answer 1

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12x² - 7x + 1

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By Multi Splitting term:-

12x² - 4x - 3x + 1

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

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

Answer 2

Answer:

The answer is $( 3x - 1 ) ( 4x - 1 )$

Step-by-step explanation:

The given polynomial is : $12x^{2} - 7x + 1$

To factorize it, we have to find $2$ numbers such that their product is $12*1=12$ and sum is $-7$

i.e. to find two numbers $p,q$ such that $pq = 12 * 1 = 12$ and $p + q = -7$

Let $p,q$ be $4,3$

Here,

$12x^{2} - 7x + 1 \\= 12x^{2} - 4x - 3x + 1$

$= 4 x ( 3x - 1 ) - 1 ( 3x - 1 )$

This can be simplified and written as $( 3x - 1 ) ( 4x - 1 )$

Hence,

$12x^{2} - 7x + 1$ $=( 3x - 1 ) ( 4x - 1 )$