+0  
 
+1
136
1
avatar+558 

(a)  Use the fundamental theorem of algebra to determine the number of roots for  .

(b)  What are the roots of ? Show your work.

 

SamJones  Feb 7, 2018
 #1
avatar+92808 
+1

a. The fundamental theorem says that a polynomal of degree "n"   will have "n" roots

 

Note that some may be repeated  and/or some may be complex

 

So.....this a polynomial of degree 2....so...it will have two roots

 

b.

 

2x^2 + 4x + 7  =  0      

 

Use the quadratic formula   a = 2, b = 4, c = 7

 

So we have

 

x1,2  =  [  - 4 ± √ [4^2 - 4(2)(7) ] ]  /  [ 2 * 2 ]  =

 

[  -4 ± √ [ 16 - 56]  ]  / 4  =

 

[ -4 ± √ -40 ] / 4  =

 

[ - 4 ± 2i√ 10 ] / 4  =

 

[ -2 ± i√ 10 ] / 2

 

 

cool cool cool

CPhill  Feb 7, 2018

14 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.