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What is the value of k if x^3 + kx^2 + 7x + 5 is divided by x + 6 and gives a remainder of -1

A.) 5

B.) -7 

C.)7 

D.)-5

 Feb 8, 2016

Best Answer 

 #1
avatar+128475 
+10

This says that if we put -6 into the function for x, it returns a value of -1......so we have

 

(-6)^3 + k(-6)^2 + 7(-6)+ 5   = -1    simplify

 

-216 + 36k - 42  + 5 = -1

 

-253 + 36k = -1

 

36k = 252

 

k = 7

 

 

cool cool cool

 Feb 8, 2016
 #1
avatar+128475 
+10
Best Answer

This says that if we put -6 into the function for x, it returns a value of -1......so we have

 

(-6)^3 + k(-6)^2 + 7(-6)+ 5   = -1    simplify

 

-216 + 36k - 42  + 5 = -1

 

-253 + 36k = -1

 

36k = 252

 

k = 7

 

 

cool cool cool

CPhill Feb 8, 2016

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