Question

6x³-x²-16x/ x-2 remainder theorem​

Answer 1

Answer:

The remainder theorem states that if you want to find f(x) of any function, you can synthetically divide by whatever "x" is, get the remainder and you will have the corresponding "y" value. Lets go through an example: (I have to assume you know synthetic division)

Say you had the function

f

(

x

)

=

2

x

2

+

3

x

+

7

and wanted to find f(3), rather than plugging in 3, you could SYNTHETICALLY DIVIDE by 3 to find the answer.

To find f(3) you would set up synthetic division so that your "x" value (3 in this case) is in a box on the left and you write out all the coefficients of the function on the right! (Don't forget to add place holders if necessary!)