Asked by Abbey
                Express the function in the form 
f(x) = (x-k)q(x) + r for the given value of k.
f(x) = 15x^4 + 10x^3 - 6x^2 + 14
Value of k = -2/3
I do not understand what I am suppose to do!
            
        f(x) = (x-k)q(x) + r for the given value of k.
f(x) = 15x^4 + 10x^3 - 6x^2 + 14
Value of k = -2/3
I do not understand what I am suppose to do!
Answers
                    Answered by
            MathMate
            
    For the given f(x), you will need to use synthetic to find the quotient q(x) and the remainder, r.
Since you already figured out how to do synthetic division, you should have no problem tackling this one.
Post your answer for a check if you wish.
    
Since you already figured out how to do synthetic division, you should have no problem tackling this one.
Post your answer for a check if you wish.
                    Answered by
            Abbey
            
     i did -2/3  divided by 15, 10, -6, 0 and 14
I got 15, 0, -6 , 4 ,11.4
Is this correct?
    
I got 15, 0, -6 , 4 ,11.4
Is this correct?
                    Answered by
            MathMate
            
    Yes, it is correct.  A clearer way to write your answer is to put it in polynomial form:
q(x)=15x^3-6x+4
r=34/3=11 1/3
Note that the remainder is 11 1/3 and not 11.4.
    
q(x)=15x^3-6x+4
r=34/3=11 1/3
Note that the remainder is 11 1/3 and not 11.4.
                    Answered by
            Abbey
            
    Thank You
    
                    Answered by
            MathMate
            
    You're very welcome!
    
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