Question

4x²+6x+2 factorise the following using method splitting the middle term​

Answer 1

$\huge\bigstar\color{aqua}answer : -$

$\color{lightgreen} \boxed { \colorbox{black}{ \sf{ (4x + 2)(x + 1)}}}$

$\huge\bigstar\color{violet}explanation : -$

♡To do :-

● Factorize 4x²+6x+2 by using method of

splitting middle term

♡Solution:-

● In order to factorize 4x²+6x+2 ,we find

two numbers p and q such that p+q= 6 and

pq= 4×2=8.

● Clearly,4+2 =6 and 4×2 = 8

● We know split the middle term 6x in the

given quadratic as 4x +2x ,so that

$- > 4 {x}^{2} + 6x + 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\\\ = > 4 {x}^{2} + 4x + 2x + 2 \: \: \: \: \: \: \\\\ = > 4x(x + 1) + 2(x + 1) \\ \\= > (4x + 2)(x + 1) \: \: \: \: \: \: \: \: \: \: \:$

♡ Hence:-

$\color{yellow} \boxed \bigstar { \colorbox{black}{ \sf{ (4x + 2)(x + 1)}}}$

$\color{violet}is \: the \: required \: answer \:$

__________________________

Extra information:-

• (a+b)²= a²+b²+2ab

• (a-b)²=a²+b²-2ab

• (a²-b²)=(a+b)(a-b)

• (a²+b²)= (a+b)²-2ab

________________________________

hope it helps.... :)