( 3 x + 7 ) \text { is a factor of } P ( x ) = 6 x ^ { 3 } + 29 x ^ { – InterviewSolution

1.

( 3 x + 7 ) \text { is a factor of } P ( x ) = 6 x ^ { 3 } + 29 x ^ { 2 } + 44 x + 21

Answer»

P(x)=6x^3 + 29x^2 + 44x +21P(-7/3)= 6(-7/3)^3 + 29(-7/3)^2 +44(-7/3)+21=-686/9 +1421/9 -308/3 +21=735/9 - 308/3 + 21=0

hence proved

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