‼️‼️‼️ i really need

given the polynomial function

f(x)=x^3−4x^2+x+6

1) name all of the possible roots for the function using the rational root theorem.

2) prove 2 is one of the zeroes of this function (show or describe your process).

3) name the three actual roots of this function and describe how you found them.

4) write the original polynomial function in factored form and describe how you found those factors.

Valentino starts with a population of 1,500 amoebas that increases 35% in size every hour for a number of hours, h. the expression 1,500(1+0.35)h finds the number of amoebas after h hours. which statement about this expression is true? a. it is the initial population raised to the growth factor after h hours. b. it is the sum of the initial population and the percent increase. c. it is the sum of the initial population and the growth factor after h hours. d. it is the product of the initial population and the growth factor after h hours.

When the solutions to each of the two equations below are graphed in the xy-coordinate plane, the graphs of the solutions intersect at two places. write the y-cordninates of the points of intersection in the boxes below in order from smallest to largest. y=2x y=x^2-3

For what values of x is x2 + 2x = 24 true?