Question

Find P(0), P(1) and P(2) for each of the following polynomial.


`p(y) = 2 + y + 2 {y}^(2) - {y}^(3)`​

Answer 1

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`\sf \: p(y) = 2 + y + 2y {}^(2) - y {}^(3)`

`\sf \: p(o) = 2 + (o) + 2(o) {}^(2) - (o) {}^(3) = 2 + 0 + 0 - 0 = 2`

`\sf \: p(1) = 2 + (1) + 2(1) {}^(2) - 1 {}^(3) = 2 + 1 + 2 - 1 = 4`

`\sf \: p(2) = 2 + 2 + 2(2) {}^(2) - 2 {}^(3) = 4 + 8 - 8 = 4`