Respuesta :

aebbt608

to find the other factor you are going to need to divide the polynomial by the factor it gave
[tex]( {x}^{3} + 5 {x}^{2} + 6x) \div ( {x}^{2} + 3x)[/tex]

I do not have a pen and paper nearby to explain how to divide polynomials but if you leave a comment saying you don't know how I will explain it to you.
after dividing you get the answer x+2

Answer:

Option B ( x+2)

Step-by-step explanation:

The given polynomial is ( x³ + 5x² + 6x )

Now we will factorize the polynomial.

( x³ + 5x² + 6x ) = x³ + 3x² + 2x² + 6x

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

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

As one factor is already given as ( x² + 3x )

Therefore, other factor will be ( x+ 2)

Option B ( x+2) is the answer.

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