Part 1

a) Factorf(x)=x55x47x3+29x2+30x

b) determine the characteristics of the graph such as as x-intercepts,y-intercept, degree,leading coefficient, end behavior and then sketch.

Part 2

Determine the equation of the polynomial function that has the following zeros and passes through the point (7, 5000): x=2 (order 1), x= -3 (order 2), and x=5 (order 1)

Part 3

If the graph of the functiony =x³ is compressed horizontally by a factor of , stretched vertically by a factor of 2, and translated 3 units to the left, and reflected in the x-axis. Find an equation for the graph of the transformed function.

Part 4

Calculate x⁴- 2x³+ 13x -6 x+2 and show all work please. State any restrictions