Verify whether 2 and o are zeroes of polynomial x3 - 2x²
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The polynomial x3+2x2−x−2=0 can be factorised as follows:
x3+2x2−x−2=0
⟹x2(x+2)−1(x+2)=0
⟹(x2−1)(x+2)=0
⟹ x2−1=0 or x+2=0
⟹ x2=1 or x=−2
x=1, x=−1 and x=−2
Hence, the zeroes of the polynomial x3+2x2−x−2=0 are 1,−1,−2.
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