The figure shows a graph of y = x4 − 2x3 − x2 + 2x.

Question

The figure shows a graph of y = x⁴ − 2x³ − x² + 2x.

Use the graph to do the following.

(a) Find the solutions of the equation x⁴ − 2x³ − x² + 2x = 0.

 (Enter your answers as a comma-separated list.)

x = 

 

(b) Find the solutions of the inequality x⁴ − 2x³ − x² + 2x ≤ 0.

 (Enter your answer using interval notation.)

 

Answer 1

(a) the value where the red line crosses the x-axis

(b) all values on the red line on or below the x-asix