please help me please yaar please
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Step-by-step explanation:
Apply factor theorem
x+1=0
So x=−1
2x3+x2−2x−1
Replace x by −1, we get
2(−1)3+(−1)2−2(−1)−1=−2+1+2−1=0
Reminder is 0 so that x+1 is a factor of 2x3+x2−2x−1
(ii) Apply factor theorem
x+2=0
So x=−2
x3+3x2+3x+1
Replace x by −2, we get
(−2)3+3(−2)2+3(−2)+1=−8+12−6+1=1
Reminder is 1 so that x+2 is not a factor of x3+3x2+3x+1
(iii) Apply factor theorem
x−3=0
So x=3
x3−4x2+x+6
Replace x by 3, we get
(3)
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