Question

factorise 4x square + 8x + 3

Answer 1

4x^2 + 8x +3
=4x^2 + 2x + 6x + 3 { 2x+6x=8x and 2x×6x=12x^2}
=2x(2x+1) + 3(2x+1)
=(2x+3) (2x+1)

Answer 2

Given,

• $4x^2+8x+3$ is given.

To find,

• We have to factorize the given quadratic equation.

Solution,

We can simply factorize the given quadratic equation by using the method of splitting the middle term.

                = $4x^2+8x+3$

                = $4x^2 +(2+6)x+3$

                = $4x^2+2x+6x+3$

Taking 2x common from the first two terms and 3 commons from the last two terms, we get

                = $2x(2x+1) +3(2x+1)$

Taking (2x+1) common, we get

                = $(2x+1)(2x+3)$

Hence, the factors of $4x^2+8x+3$ are $(2x+1)(2x+3)$.