X added2 is a factor of the polynomial.
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(x−2) is a factor of the polynomial p(x)=x
4
−2x
3
+ax−1,
then according to factor theorem p(2)=0
⇒(2)
4
−2(2)
3
+a(2)−1=0
⇒16−16+2a−1=0
⇒a=
2
1
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