Use synthetic substitution to find g(3) and g(-6) for the function g(x)=x^5-5x^3-10x+4

g(3)=82

g(-6)=-6632

Step-by-step explanation:

To find g(3) we are going to use synthetic division for dividing the polynomial x^5-5x^3-10x+4 by x-3.

So this means 3 goes on the outside.

Also since we are missing x^4 and x^2 term, we will need to put a 0 placeholders there.

3  |  1   0    -5    0   -10     4

   |       3     9   12    36    78

   |

      1    3     4   12    26     82

So g(3)=82

To find g(-6) we will put -6 on the outside:

-6 |  1   0    -5    0       -10     4

   |       -6   36  -186    1116  -6636

      1    -6   31   -186    1106   -6632

So g(-6)=-6632

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step-by-step explanation: