निम्नलिखित बहुपदो में से प्रत्येक बहुपद के लिए `p(0),p(1)` और `p(2)` ज्ञात कीजिए :
(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)`

Explanation

(i) `p(y)=y^(2)-y+1`
`:." "p(0)=0-0+1=1`
`p(1)=1-1+1=1`
`p(2)=2^(2)-2+1=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=4`
`p(2)=2+2+2(2)^(2)-(2)^(3)=4`
(iii) `p(x)=x^(3)`
`:." "p(0)=(0)^(3)=0`
`p(1)=(1)^(3)=1`
`p(2)=(2)^(3)=8`
(iv) `p(x)=(x-1)(x+1)`
`:." "p(0)=(0-1)(0+1)=-1xx1=-1`
`p(1)=(1-1)(1+1)=0`
`p(2)=(2-1)(2+1)=1xx3=3`