Shelly J. answered 01/26/14
Tutor
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Master's degree in Maths with 11+ years of tutoring experience
Hi Dalia,
By the factor theorem, the required polynomial have factors (x-3),(x+3) and (x-6)
therefore the solution is P(x)= (x-3)(x+3)(x-6)
=(x2-9)(x-6)
=x2(x-6)-9(x-6)
=x³-6x²-9x+54