6. Find p(1),p(2) for the polynomials
Al p(t) = 2+t+2+2-13
B] p(x) = (x-1)(x+1)
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Answer:
(i) p(y)=y 2−y+1p(0)=(0) 2−(0)+1=0+0+1=1p(1)=(1) 2−(1)+1=1−1+1=1p(2)=(2) 2−(2)+1=4−2+1=3
(ii) p(t)=2+t+2t 2−t 3p(0)=2+(0)+2(0) 2−t 3
=2+0+0−0=2p(1)=2+(1)+2(2) 2−(1) 3
=2+1+2−1=4p(2)=2+(2)+2(2) 2 −(2) 3 =2+2+8−8=4
(iii) p(x)=x 3p(0)=(0) 3=0p(1)=(1) 3 =1p(2)=(2) 3 =8
(iv) p(x)=(x−1)(x+1)
p(0)=(0−1)(0+1)=(−1)(1)=−1
p(1)=(1−1)(1+1)=(0)(2)=0
p(2)=(2−1)(2+1)=(1)(3)=3
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