Verify whether 2, 3 and 1/3 are the zeroes of the polynomial p(x) = 2x^3- 11x^2 + 17x-6.
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Step-by-step explanation:
if x = 2
p(x) = 2x³-11x²+17x-6
p(2)= 2(2)³-11(2)²+17(2)-6
= 16- 44+34-6
= 0
if x= 3
p(x) =2x³-11x²+17x-6
p(3)= 2(3)³-11(3)²+17(3)-6
= 54-99+51 -6
= 0
if x= 1/3
p(x)=2x³-11x²+17x-6
p(1/3)= 2(1/3)³-11(1/3)²+17(1/3)-6
= 2/27-11/9+17/3-6
= 2-33+153-162/27
= -40/27is not equal to zero
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