find the remainder when x³-px²+6x-p is divided by x-p
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Given polynomial x3−px2+6x−p divided by x−p
If divided by x−p then x−p=0 or x=p
Replace x by p we get
q(x)=x3−px2+6x−p
q(p)=(p)3−p(p)2+6(p)−p
⇒q(p)=p3−p3+6p−p
⇒q(p)=5p
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