Math, asked by sukhmaniA1349, 11 months ago

Factorize:
2x² - 5/6x + 1/12

Answers

Answered by nikitasingh79
1

Concept :  

Here we factorise it by splitting the middle term.

  • To factorise quadratic polynomials of the type ax² + bx + c by middle term splitting ,write b as the sum of two numbers whose product is ac.
  • To factorise ax² + bx - c & ax²- bx - c , write b as the difference of two numbers whose product is - ac.

Given : 2x² - 5/6x + 1/12

= 2x² - ⅓ x - ½ x + 1/12

= x(2x - ⅓) - ¼ (2x - ⅓ )

= (2x - ⅓) (x - ¼)

2x² - 5/6x + 1/12 = (2x - ⅓) (x - ¼)

Hence, the factorisation of  2x² - 5/6x + 1/12 is (2x - ⅓) (x - ¼)

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Answered by Anonymous
1

Answer:

Step-by-step explanation:

= 2x² - ⅓ x - ½ x + 1/12

= x(2x - ⅓) - ¼ (2x - ⅓ )

= (2x - ⅓) (x - ¼)

2x² - 5/6x + 1/12 = (2x - ⅓) (x - ¼)

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