(n^2-6n+3) and -4n
a)-4n^3+24n^2+12n
b)-4n^3+24^2-12n
c)4n^3+24n^2-12n
when this product is multiplied by-n the result
a) 4n^4-24n^3+12n^2
b)-4n^4+24^3+12n^2
c)4n^4+24n^3+12n^2

-4n*(n^2 -6n +3)
= (-4n)*n^2 +(-4n)*(-6n) +(-4n)*(3)
= -4n^3 +24n^2 -12n . . . . . . . . . . . . corresponds to selection B

Note that the signs alternate. For the first question the signs of the answer are the reverse of those of the original trinomial.

For the second question, multiplying by -n changes the signs back to those of the original trinomial. Only one answer has the signs correct, selection A.