Use synthetic division and the remainder theorem to find p(a) = 2x3 -x2 + 10x; = a = 1/2

p(1/2) = 5

Step-by-step explanation:

Find the value of p(1/2) if p(x) = 2x^3 -x^2 + 10x

Set up synthetic div.:

1/2   )   2   -1    10   0

                1      0    5

           2   0    10     5

The remainder is 5, so we conclude that p(x) = 2x^3 -x^2 + 10x = 5 when x = 1/2.