Question

Factorise : 3x2 + 7x + 2​

Answer 1

${\fbox{\fbox{\huge\sf\purple{QuEsTiOn}}}}$

• Factorise : 3x² + 7x + 2

${\fbox{\fbox{\huge\sf\purple{AnSwER}}}}$

• Value of x is –1/3 or –2.

$\bf{\red{To\:find:-}}$

• Value of x

$\bf{\red{Solution}}$

According to question,

$\large{ \tt : \implies \: \: \: \: \: 3 {x}^{2} + 7x + 2 = 0}$

Splitting the middle term:-

$\large{ \tt : \implies \: \: \: \: \: 3 {x}^{2} + 6x + x + 2 = 0}$

$\large{ \tt : \implies \: \: \: \: \: 3x(x + 2) + 1(x + 2) = 0}$

$\large{ \tt : \implies \: \: \: \: \: (x + 2)(3x + 1) = 0}$

$\large{ \tt : \implies \: \: \: \: \: x + 2 = 0 \: \: \: \: \: \boxed{or} \: \: 3x + 1 = 0}$

Either,

$\large{ \tt : \implies \: \: \: \: \: x + 2 = 0}$

$\large{ \tt : \implies \: \: \: \: \: x = - 2}$

Or,

$\large{ \tt : \implies \: \: \: \: \: 3x + 1 = 0}$

$\large{ \tt : \implies \: \: \: \: \: 3x = - 1}$

$\large{ \tt : \implies \: \: \: \: \: x = \frac{ - 1}{3} }$

Hence,

Value of x is –1/3 or –2.

Answer 2

Answer:

given, 3x

2

−7x+2=0

3x

2

−6x−x+2=0

3x(x−2)−1(x−2)=0

(x−2)(3x−1)=0

x=2,

3

1