Factor Theorem-9

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If the expression x3 + 3x2 + 4x + p = 0 has (x + 6) as a factor, find p.

Solution: As (x + 6) is its factor, so f( -6) = 0,

i.e. ( -6)3 + 3( -6)2 + 4( -6) + p = 0

=> - 216 + 108 – 24 + p = 0

=> p = 132

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