Question

Factorisey: 2x²plus 7xplus3

Answer 1

Solution :

→ 2x² + 7x + 3

By splitting middle term

→ 2x² + 6x + x + 3

→ 2x ( x + 3 ) + 1 ( x + 3 )

→ ( 2x + 1 ) ( x + 3 )

To Find value of x

→ ( 2x + 1 ) ( x + 3 ) = 0

Here x have two values

Case 1 :-

→ 2x + 1 = 0

→ 2x = - 1

→ x = - 1/2

Case 2 :-

→ x + 3 = 0

→ x = - 3

Answer 2

$\huge\red{Solution}$

We can factorise given polynomial using split middle term method

We know,

2×3=6×1

6+1=7 splitting 7 into 6+1 we get

=>2x^2+(6+1)x+3

=>2x^2+6x+x+3

=>2x(x+3)+1(x+3)

=>(x+3)(2x+1)

x = -3 , x = 1/2