Answer:
(a, b, c, d) = (-12, 2, 8, 6)
Step-by-step explanation:
Put the value where x is in the equation and do the arithmetic.
When evaluating polynomials by hand, it often works well to factor an x from the terms containing x:
... y = x(3 -x) +6
x = -3: y = (-3)(3 -(-3)) +6 = -3(6) +6 = -18 +6 = -12 (a)
x = -1: y = (-1)(3 -(-1)) +6 = -1(4) +6 = -4 +6 = 2 (b)
x = 2: y = 2(3 -2) +6 = 2+6 = 8 (c)
x = 3: y = 3(3 -3) +6 = 0 +6 = 6 (d)
