5. Is it true we can evaluate a polynomial p(x) (dividend) at some value c without replacing a variable with this value but rather apply synthetic division by x -c and find the remainder r = a. The answer will be p(c ) = a? For example. Evaluate p(x) = x* -x3 -11x? + 11x + 12 at x = -2 Note. c= -2 Step 1. Use synthetic division to divide (x4 -x3 -11x2 + 11x + 12)/(x + 2) Note. (x-c) = (x-(-2)) = (x+2) (x* -x3-11x? + 11x + 12)/(x+2) = (x3 -3x2 -5x + 21) - 30/(x+2) Step 2. Identify the remainder r = 30 therefore Step 3. The answer p(-2) = 30