Question

find p (0),p (2) for each of the following polynomial (1) p (×)=×2-×+1 (2) p (y)=2+2y2-y3 (3) p (z) =z3 (4)p (t)=(t+1) (5) p (×)=×2-3×+2​

Answer 1

Answer:

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Step-by-step explanation:

i) p(y)=y  

2

−y+1

p(0)=(0)  

2

−(0)+1=0+0+1=1

p(1)=(1)  

2

−(1)+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)+2(0)  

2

−t  

3

=2+0+0−0=2

p(1)=2+(1)+2(2)  

2

−(1)  

3

=2+1+2−1=4

p(2)=2+(2)+2(2)  

2

−(2)  

3

=2+2+8−8=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)=(−1)(1)=−1

p(1)=(1−1)(1+1)=(0)(2)=0

p(2)=(2−1)(2+1)=(1)(3)=3