Is x(4x2+8x+6)

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.

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.

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

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

2 answers

The correct response is:

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

So the factored form would be:

x(2(2x^2 + 4x + 3)) = x(2x + 3)(x + 1)
AAAaannndd the bot gets it wrong yet again!

x(4x2+8x+6) = 2x(2x^2+4x+3)
the discriminant of the quadratic is negative, so it cannot be factored.
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