Question

Factorise: by splitting method:-)
2x^2+7x+3
​

Answer 1

Answer:

x= -3 and x= -½

Step-by-step explanation:

2x²+7x+3

2x²+6x+x+3

2x(x+3)+1(x+3)

(x+3)(2x+1)

Answer 2

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

the above equation is in the form of a quadratic equation so we factorise it.

How to factorise..??

2x²+7x+3

The coefficient of x² is 2

7x is a middle term and its coefficient is 7.

and the constant" is +3

Step-1 : Multiply the coefficient of x² by the constant 3×2= 6

Step-2 : Find two factors of 6 whose sum is equal to the coefficient of the middle term, which is 7.

6+1 = 7

$\sf \longmapsto {x}^{2} + 7x + 3 = 0$

$\sf \longmapsto2 {x}^{2} + 6x + x + 3 = 0$

$\sf \longmapsto2x(x + 3) + 1(x + 3) = 0$

$\sf \longmapsto(2x + 1)(x + 3) = 0$

$\sf 2x + 1 = 0$

$\sf \bold{ \red{ x = - \dfrac{1}{2}}}$

$\sf x + 3 = 0$

$\sf \bold{ \red{x = - 3}}$