Question

find the remainder when x³-px²+6x-p is divided by x-p
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Answer 1

Given polynomial x  

3

−px  

2

+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)=x  

3

−px  

2

+6x−p

q(p)=(p)  

3

−p(p)  

2

+6(p)−p

⇒q(p)=p  

3

−p  

3

+6p−p

⇒q(p)=5p

Answer 2

Answer:

Remainder = 5p

Step-by-step explanation:

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