Question

solve : 2x³+9x²+10x-3​

Answer 1

Answer:

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

(2 x^3 - 9 x^2 + 10 x - 3)/(x - 3)

=

1 - 3 x + 2 x^2

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

Answer 2

The factored form is

2x³+9x²+10x-3

→ ( x+3 ) ( x+1 ) ( 2x + 1 )

Step by step explanation

Given the polynomial 2x³+9x²+10x-3

We have to factorise the above ponyomial

2x³+9x²+10x-3

Spilt 9x² to 6x² and 3x²

= 2x³ + 6x² + 3x² + 9x + x + 3

= 2x² ( x+3 ) + 3x ( x + 3 ) + 1 ( x + 3 )

Taking ( x+3 ) common Both sides

= ( x+3 ) ( 2x² + 3x + 1 )

= ( x+3 ) ( 2x² + 2x + x + 1 )

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

Taking ( x + 1 ) common from both sides

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

Thankyou ☺️