Question

. Factorise: 2x^3+9x^2+10x+3.​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given :-

2x³+ 9x² +10x+3

To find :-

Factorise the Polynomial ?

Solution :-

Given that

2x³ + 9x² +10x+3

It can be written as

=> 2x³+2x²+7x²+7x+3x+3

=> (2x³+2x²)+(7x²+7x)+(3x+3)

=> 2x²(x+1)+7x(x+1)+3(x+1)

=> (x+1)(2x²+7x+3)

=> (x+1)(2x²+x+6x+3)

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

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

2x³+ 9x² +10x+3 = (x+1)(2x+1)(x+3)

Answer :-

The factorization of the given polynomial is (x+1)(2x+1)(x+3)

Used Method:-

→ Splitting the middle term.