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1. Let f(x) = x^6 - 3x^2 + 2 and g(x) = 2x^6 - 6x^2 - 1. Let a be a constant. What is the largest possible degree of f(x) + a*g(x)?

 

2. Let f(x) = x^6 - 3x^2 + 2 and g(x) = 2x^6 - 6x^2 - 1. Let b be a constant. What is the smallest possible degree of f(x) + b*g(x)?

 Apr 10, 2021

Best Answer 

 #1
avatar+33727 
+2

1)  Largest possible degree would be 6  .....it could be LESS

2)  if  b = -1/2  the x6 terms would be gone      and the   x2   terms would be gone too.....    degree zero

 Apr 10, 2021
 #1
avatar+33727 
+2
Best Answer

1)  Largest possible degree would be 6  .....it could be LESS

2)  if  b = -1/2  the x6 terms would be gone      and the   x2   terms would be gone too.....    degree zero

ElectricPavlov Apr 10, 2021

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