Question

One of the factors of the polynomial x3 + 5x2 + 6x is (x2 + 3x). What is the other factor?

Answer 1

The answer is

x (x² + 5x + 6)
--------------------
x ( x + 3)

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

x + 2

Answer 2

The given polynomial is :

`x^(3)+5x^(2)+6x`

One factor is given as :
`x^(2) +3x` or
`x(x+3)`

So, now solving this for 2nd factor, we get,

`x(x^(2)+5x+6 )`

`x[(x^(2)+3x+2x+6)]`

`x(x+3)(x+2)`

Hence, the second factor is (x+2)