Question

show (2x + 1) is a factor of
4x+12x²+11x+3. Hence completely
factorise it.​

Answer 1

Answer:

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Answer 2

Answer: (2x+1) is not a factor of $4x+12x^{2} +11x+3$

Concept: This is the question of 'factorization'. In mathematics, we do factorization of a number, polynomial, or matrix. factorization can be said to be the decomposition of a number into a product of another quantity.

Given:  $4x+12x^{2} +11x+3$ and an another expression $(2x+1)$

To find: show that $(2x+1)$ is a factor of $4x+12x^{2} +11x+3$

Solution:

first, we will factorize the given expression

          $4x+12x^{2} +11x+3$

       $= 12x^{2} +15x+3$

       $= 12x^{2}+12x+3x+3$

       $= 12x(x+1)+3(x+1)$

       $=(x+1)(12x+1)$

Hence it is proved that (2x+1) is not a factor in a given expression