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When h(x) is divided by x - 3, the remainder is 0. Select which statements about h(x) must be true. h(3) =...

When h(x) is divided by x - 3, the remainder is 0.
Select which statements about h(x) must be true.
h(3) = 0
h(x) has a root at 3.
x - 3 is a factor of h(x).
h(-3) = 0

Answer

h(3) = 0: True. According to the factor theorem, if the remainder is 0 when h(x) is divided by x - 3, then h(3) = 0.

h(x) has a root at 3: True. Since h(3) = 0, x = 3 is a root of h(x).

x - 3 is a factor of h(x): True. If the remainder is 0, then x - 3 is a factor of h(x).

h(-3) = 0: False. The information given only confirms h(3) = 0, not h(-3).

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