Question

Determine the maximum number of zeros. Then, determine the x-intercepts of the function. x^3-3x^2-22x+24

Answer 1

Answer:

Three zeros $x=-4,\ x=1,\ x=6$

x-intercepts: (-4,0), (1,0), (6,0)

Step-by-step explanation:

Plot the graph of the function $y=x^3-3x^2-22x+24$ on the coordinate plane. This graph intersects the x-axis at three different points (see attached diagram):

• (-4,0);
• (1,0);
• (6,0).

This means $x=-4,\ x=1,\ x=6$ are zeros of the function $y=x^3-3x^2-22x+24$