Using Remainder Theorem find the remainder when x3 - x2 + x - 1 is divided by x - 1 (a) -2 (b) -1 (c) 1 (d) 0
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Answer:
p(x)=1
3*1-2*1+1-1
3-2+1-1
-1+0=-1
remainder=-1
(a)p(x)=2
3*2-2*2+2
6-4+2=0
remainder=0
(b)p(x)=1
3*1-2*1+1-1
3-2+1-1
-1+0=-1
remainder=-1
(C)p(x)=-1
-1*3--1*2+-1-1
-3-2+-2
-5-2=-7
remainder=-7
(d)p(x)=0
0*3-0*2+0-0
0-0+0-0=0
remainder=0
Step-by-step explanation:
(a)p(x)=2
3*2-2*2+2
6-4+2=0
remainder=0
(b)p(x)=1
3*1-2*1+1-1
3-2+1-1
-1+0=-1
remainder=-1
(C)p(x)=-1
-1*3--1*2+-1-1
-3-2+-2
-5-2=-7
remainder=-7
(d)p(x)=0
0*3-0*2+0-0
0-0+0-0=0
remainder=0
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