1.

Find p(0), p(1) and p(2) for each of the following polynomials:(i) `p(y)=y^2-y+1`(ii) `p(t)=2+t+2t^2-t^3` (iii) `p(x)=x^3` (iv) `p(x)=(x-1)(x+1)`

Answer» (i)`p(y) = y^2 - y+1`
`p(0) = 0-0+1=1`
`p(1)= 1-1+1= 1`
`p(2)= 4-2+1 = 3`
(ii) `p(t) = 2+t + 2t^2 - t^3`
`p(0) = 2 + 0 + 0 - 0 = 2`
`p(1) = 2+ 1 +2(1) - 1 = 4`
`p(2) = 2 + 2 +2(2)^2 -2^3 = 4`
(iii) `p(x) = x^3`
`p(0)= 0`
`p(1)= 1`
`p(2)= 8`
(iv) `p(x) = (x-1)(x+1)`
`p(0)= (0-1)(0+1)= 0`
`p(1)= (1-1)(1+1)= 0`
`p(2)= (2-1)(2+1) = 3`
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