Chapter 2.3, Problem 78E

a.

To determine

Find the zeros of the function accurate to three decimal places.

Answer to Problem 78E

  

Explanation of Solution

Calculation:

Here, we will consider the following polynomial:

  

Now, we will usecalculator to find the zeroes of the above function.

First we will pressbutton and enter the above function:

  

Now, pressandbutton and selectand then press

  

Now, choose the left and right bound at each of the point where the graph of the function intersects theand press

  

Now, we will repeat same steps to find the other two zeroes:

  

  

Hence, the zeroes of the above function are

b.

To determine

Find the exact value of one of the zeros.

Answer to Problem 78E

  

Explanation of Solution

Calculation:

Here, from the above graph we have observed that the exact zeros of the functionis

c.

To determine

Factor the polynomial completely.

Answer to Problem 78E

  

Explanation of Solution

Calculation:

Here, we will divide the polynomialbyusing synthetic division method:

  

Hence, the remainder is zero sois a zero of polynomial

Now, we will rewrite the polynomialas:

  

Now, we will use quadratic formula to find roots of

  

Hence, the complete factors of the polynomial are