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suppose f is a polynomial such that 

(x-1) * f(x) = 3x^4+x^3-25x^2+38x-17

a. What is the degree of f?

b. What is the leading term of f(x)?

c. What is the constant term of f(x)?

d. Find f(x)

 Aug 18, 2020
 #1
avatar+26620 
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(x-1) * f(x) = 3x^4+x^3-25x^2+38x-17        f(x) must be degree 3     after multiplication by 'x' in (x-1) the nuw fxn bumps up to 4th degree

 

leading term must be  3 x^3

constant must be  17      ( - 1  from the first part   *   17 from f(x) will give  -17 in the final )

 

divide    (x-1)   into   3x^4+x^3-25x^2+38x-17     to find  f(x)

 Aug 18, 2020

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