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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 are real numbers.

 Mar 9, 2022

Best Answer 

 #1
avatar+36433 
+2

a x^2 + bx + c   = 4  when x = 0            a = 1 ( since it is monic )

    so            c = 4

 

x^2 + bx + 4   = -10    when   x = 1

1^2  + b (1) + 4 = -10

        b = -15

 

 

y =   x^2 -15x+4     

 Mar 9, 2022
 #1
avatar+36433 
+2
Best Answer

a x^2 + bx + c   = 4  when x = 0            a = 1 ( since it is monic )

    so            c = 4

 

x^2 + bx + 4   = -10    when   x = 1

1^2  + b (1) + 4 = -10

        b = -15

 

 

y =   x^2 -15x+4     

ElectricPavlov Mar 9, 2022

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