Question

Solve the inequality. Express your solution using interval notation and please show all of your work. x^4-7x^3+12x^2<0

Answer 1

Find the zeros first, can you do that?

Answer 2

If I can do it I wouldn't put the question up there.

Answer 3

well in order to solve x^4-7x^3+12x^2<0,
you have to solve x^4-7x^3+12x^2=0

Answer 4

factor out an x^2 and solve the quadratic

Answer 5

\[3<x<4\] is your solution

Answer 6

\[(x-4) (x-3) x^2<0\] and since
\[x^2\geq 0\] your job is to solve
\[(x-4) (x-3) <0\]

Answer 7

will be negative between the zeros, i.e. negatitve between 3 and 4
positive otherwise