Question

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

Answer 1

d.−1.4, 3.4

Step-by-step explanation:

Given

`f(x) = x^4-3x^3-2x^2+3x-5`

Required

Determine the zeros

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

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

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):

`x =-1.449`

`x = 3.449`

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

Hence, the zeros are: -1.4 and 3.4