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Verify that 2 is a zero of the polynomial x3 + 4x2– 3x – 18.
We have,
p (x) = x3 + 4x2 – 3x – 18
Now,
p (2) = (2)3 + 4 × (2)2 – 3 (2) – 18
= 8 + 16 – 6 – 18
= 24 – 24
= 0
∴ 2 is the zero of the given polynomial