Question

Spit the middle term 2x^ -4x -3=0

Answer 1

$\huge{Hey\:Mate\:Here\:\Is\:your\:Answer }$

$\textbf{Given That...}$

$2 {x}^{2} - 4x - 3 = 0$

We Need To Split The Middle Term

Now Let's Move On To Solution ....

$\textbf{Solution...}$

According To Question We Need To Split Middle Term of..

$2 {x}^{2} - 4x - 3 = 0$

Now Here Coefficients Are

$a = 2 \\ \\ b = - 4 \: \\ \\ c = - 3$

So Now To Split Middle Term We Need Two Number

Whose Products = (a)(c)

And Their Sum = b

So Products of a and c =

$ac = 2 \times - 3 = - 6$

$b=-4$

Now Factor of 6 are ..

$\textbf{+ - 1 , + - 2 , + - 3, + - 6}$

Now we need two number whose Products = -6 And Sum = -4

But unfortunately Here There is No Such Number That can Have This Property ...

So this Polynomial Can't be Split

But By Taking Common Factor 2x from First 2 Terms we can Factorize It

That Is ...

$2 {x}^{2} - 4x - 3$

$= 2x(x - 2) - 3 \: (taking \: 2x \: common \: )$

$\textbf{Hence The Factorized Form Is}$

$\boxed{2x(x - 2) - 3}$

$\blue{Be\: Brainly...}$