Question: Lorelai claims that ( x + 3 ) is a factor of p ( x ) = x 4 + 5 x 3 + x

Lorelai claims that ( x + 3 ) is a factor of p ( x ) = x 4 + 5 x 3 + x 2 11 x + 12 . Which of the following methods could she use to prove her claim? Select three that apply. A. show that the value of p ( 3 ) is 0 B. show that the remainder when p ( x ) is divided by ( x + 3 ) is 0 C. show that p ( x ) = ( x + 3 ) q ( x ) for some polynomial q ( x ) D. show that the quotient of p ( x ) x + 3 is a polynomial

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