s x(4x2+8x+6)

Question

completely factored? If not, how else can it be factored?
Responses

no; 2 can be factored from each term of the trinomial.
no; 2 can be factored from each term of the trinomial.

yes; the polynomial is completely factored.
yes; the polynomial is completely factored.

no; 2 can be factored from each term of the trinomial AND the resulting trinomial can be factored into two binomials.
no; 2 can be factored from each term of the trinomial AND the resulting trinomial can be factored into two binomials.

no; the trinomial 4x2+8x+6
can be factored into two binomials.

Answer 1

The correct answer is:

no; 2 can be factored from each term of the trinomial AND the resulting trinomial can be factored into two binomials.

First, we can factor out 2 from each term:

s x 2(2x^2 + 4x + 3)

Then, we can factor the trinomial inside the parentheses:

s x 2(2x + 3)(x + 1)

Therefore, the completely factored form is:

s x 2(2x + 3)(x + 1)

Answer 2

AAAaannndd the bot gets it wrong yet again!
sorry: (2x + 3)(x + 1) = 2x^2 + 5x + 3

the trinomial cannot be factored -- its discriminant is not a perfect square