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f(x) is a monic polynomial such that f(0)=4 and f(1)=10. If f(x) has degree 2, what is f(x)? Express your answer in the form ax^2+bx+c, where a, b, and c are real numbers.

 Sep 10, 2016

Best Answer 

 #1
avatar+33661 
+10

For a 2nd degree monic polynomial then a = 1, by definition.

 

If f(0) = 4 then that means c = 4

 

With f(1) = 10 we have 1 + b + 4 = 10 so b = 5

 

f(x) = x^2 + 5x + 4

 

.

 Sep 10, 2016
 #1
avatar+33661 
+10
Best Answer

For a 2nd degree monic polynomial then a = 1, by definition.

 

If f(0) = 4 then that means c = 4

 

With f(1) = 10 we have 1 + b + 4 = 10 so b = 5

 

f(x) = x^2 + 5x + 4

 

.

Alan Sep 10, 2016
 #2
avatar+14995 
0

f(x) is a monic polynomial such that f(0)=0 and f(1)=10. If f(x) has degree 2, what is f(x)? Express your answer in the form ax^2+bx+c, where a, b, and c are real numbers.

 

f(x) = 2.12x² + 7,844x - 0.0043

 

a = 2.12; b = 7.844; c = -0.0043

 

f(0) = -0,0043

f(1) = 9.9597

 

asinus :- ) laugh !

 

 Sep 10, 2016
edited by asinus  Sep 10, 2016

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