Which statements about the local maximums and minimums for the given function are true? Choose three

options.

Over the interval [1, 3], the local minimum is 0

Over the interval [2, 4], the local minimum is -8.

Over the interval [3, 5), the local minimum is -8.

Over the interval [1,4], the local maximum is 0.

Over the interval [3, 5), the local maximum is 0.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.