Given:
[tex]P(x)=6x^3-x^2+3x+5[/tex]
We will use the synthetic substitution to evaluate P(x) when x = 1/2
So, we will divide the given coefficients of the function P(x) by x = 1/2
the remainder will be the value of P(x) when x = 1/2
The synthetic division will be as shown in the following picture:
As shown the remainder = 7
So, the answer will be:
The value of P(x) when x = 1/2 will be = 7
