We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
250
1
avatar+559 

Factor the expression completely over the complex numbers.

 

 Jan 26, 2018
 #1
avatar
+1

Solve for y:

y^3 + 2 y^2 + 16 y + 32 = 0

 

The left hand side factors into a product with two terms:

(y + 2) (y^2 + 16) = 0

 

Split into two equations:

y + 2 = 0 or y^2 + 16 = 0

 

Subtract 2 from both sides:

y = -2 or y^2 + 16 = 0

 

Subtract 16 from both sides:

y = -2 or y^2 = -16

 

Take the square root of both sides:

y = -2    or    y = 4i    or    y = -4i

 Jan 26, 2018

23 Online Users

avatar
avatar