Math, asked by bahubali196716, 11 months ago

factorise 2x^3+9x^2+10x+3
Give step by step explanation​

Answers

Answered by abhikumar21146
2

Step-by-step explanation:

The factored form is

2x^3 + 9x^2 + 10x + 3=(x + 3)(x + 1)(2x + 1)

Step-by-step explanation:

\text{Given the polynomial }2x^3 + 9x^2 + 10x + 3

we have to factorise the above polynomial.

2x^3 + 9x^2 + 10x + 3

\text{Split }9x^2\text{ to }6x^2\text{ and }3x^2

=2x^3 + 6x^2 + 3x^2 + 9x + x + 3

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

Taking (x+3) common both sidesTaking (x+3) common both sides

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

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

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

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

which is required factorization.

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