P(t) = 6t^3+3t^2+3t+18 is a multiple of (2t+3)
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P(t)= 6t^3+3t^2+3t+18
= 3t^2(2t+3)-3t(2t+3)+6(2t+3)
= (2t+3)(3t^2-3t+6)
Hence, P(t) is a multiple of (2t+3).
I hope you will get it.
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