6 For the polynomial \( p(x) \), if \( p(3)=0 \), it can be concluded that
(1) \( x+3 \) is a factor of \( p(x) \)
(2) \( x-3 \) is a factor of \( p(x) \)
(3) when \( p(x) \) is divided by 3 , the remainder is zero
(4) when \( p(x) \) is divided by -3 , the remainder is zero

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Answer

So, option (2) is correct.

Steps

Step 1 ：By Factor theorem, if p(3) = 0, then (x - 3) is a factor of p(x)

Step 2 ：So, option (2) is correct.