Question

Factorise:-   3x³ + 2x² +3x + 2

Answer 1

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

Answer 2

Given,

The algebraic expression 3x³ + 2x² +3x + 2.

To find,

Factorize the algebraic expression

Solution,

⇒   We will try to group like terms together having common between them and then factorize.

⇒   3x³ and 3x would be grouped together and 2x² and 2 would be grouped together.

⇒   3x can be taken as common in 3x³ and 3x and 2 can be taken as common in 2x² and 2.

Now,

⇒  3x(x²+1) +2(x²+1)

⇒  (3x+2)(x²+1).

Hence, the factors of 3x³ + 2x² +3x + 2 are (3x+2)(x²+1).