Analyze the zeros of f(x)=^4-3x^3-2x^2+3x-5

Determine the zeros to the nearest tenth.


a.1.4, -3.4

c.−1.2, 3.4

b.−2.4, 2.3

d.−1.4, 3.4

Respuesta :

Answer:

d.−1.4, 3.4

Explanation:

Given

[tex]f(x) = x^4-3x^3-2x^2+3x-5[/tex]

Required

Determine the zeros

The best way to solve this is to apply the graphical method.

First, we plot the graph of: [tex]f(x) = x^4-3x^3-2x^2+3x-5[/tex]

See attachment

Next, we write out all values of x when the line crosses the y-axis.

From the attached graph, the points are (approximately):

[tex]x =-1.449[/tex]

[tex]x = 3.449[/tex]

Option (d) is the closest to the above values.

Hence, the zeros are: -1.4 and 3.4

Ver imagen MrRoyal