Approximating Zeros...1

[nycmathguy]

Section 2.3
72 (a - c)

Can you do 72 as a guide for me to do 74 on my own?

Thanks

P. S. If division is involved, use synthetic division.

 

[MathLover1]

g(x)=x^3+3x^2-2x-6

a.

b. determine exact values of one of the zeros

x=-3

c.
if zero x=-3

-3| 1 3 -2 -6
..
.. -3 0 6
-----------------------------
..1 0 -2 0

quotient is x^2+0*x-2=x^2-2

then find zeros

x^2-2=0
x^2=2
x=sqrt(2) or x= -sqrt(2)

to three decimal places:
x=1.414 or x= -1.414

 

[nycmathguy]

g(x)=x^3+3x^2-2x-6

a.
View attachment 420


b. determine exact values of one of the zeros

x=-3

c.
if zero x=-3

-3| 1 3 -2 -6
..
.. -3 0 6
-----------------------------
..1 0 -2 0

quotient is x^2+0*x-2=x^2-2

then find zeros

x^2-2=0
x^2=2
x=sqrt(2) or x= -sqrt(2)

to three decimal places:
x=1.414 or x= -1.414

You make math so simple to grasp. You never attack me like they do in almost every math forum. I just got home from the beach. This means I may not be able to complete Section 2.3 tonight as desired but let's see.