Question
Determine whether the indicated numbers are zeroes of the given polynomial?
f(x) = x3 - 6x2 + 11x - 6; x = 1, 3
Solution
We have
8(x) = 3x2 - 2
f(x) = x3 - 6x2
f(1) = (1)3 - 6(1)2 + 11 (1) - 6 = 0
x = 1 is a zero f f(x)
f(3) = (3)3 - 6(3)2 + 11(3) - 6
= 27 - 54 + 33 - 6 = 0
x = 3 id s zero of f(x)
