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Remainder theorem and factors

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Find the value of c so that left parenthesis, x, plus, 3, right parenthesis is a factor of the polynomial p, left parenthesis, x, right parenthesis.
p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 4, x, squared, plus, c, x, plus, 33
c, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text