What is the remainder of the polynomial?

Question

When -2x³-2x²+27x-30 is divided by 2-x, what's the remainder?

Answer 1

Use synthetic division.  This process divides the coefficients of the polynomial by the possible root.  Since the possible factor is (2 - x), then your divisor will be 2.

 

 

2 | -2        -2        27      -30

 

                -4       -12       30

_________________________

     -2        -6        15        0

 

 

The remainder is the last digit under the line.   Remainder is zero.

 

If you have any questions about synthetic division, please let me know.