Question

Factorize:
(i) 12x2–7x+1​

Answer 1

$\huge\red{ꪖꪀᦓ᭙ꫀ᥅}$

Using the splitting the middle term method,

We have to find a number whose sum = -7 and product =1×12 = 12

We get -3 and -4 as the numbers [-3+-4=-7 and -3×-4 = 12]

$12x^2–7x+1= 12x^2-4x-3x+1$

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

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

$\huge\underline\bold\orange{Thanks}$

Answer 2

Correct Question :

›»› Factorize : 12x² - 7x+1

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Given :

• 12x² - 7x+1

To Find :

• Factorize the given question.

Required Solution :

For a polynomial of the form ax² + bx + c, rewrite the middle term as a sum of two terms whose product is ac = 12 × 1 = 12 and whose sum is b = -7$.$

⇛ 12x² - 3x - 4x + 1

Factor out the greatest common factor from each group.

⇛ 3x(4x - 1) - (4x - 1)

Factor the polynomial by factoring out the greatest common factor, 4x - 1.

⇛ (4x - 1) (3x - 1)

Hence Solved !!