Question

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!

Answer 1

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.

Answer 2

i did -2/3 divided by 15, 10, -6, 0 and 14

I got 15, 0, -6 , 4 ,11.4

Is this correct?

Answer 3

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.

Answer 4

Thank You

Answer 5

You're very welcome!