Answers

2014-09-20T20:44:40+05:30
P(x)=ax³+bx²+x-6

since x+2 is a factor of p(x)
p(-2)=0
a(-2)³+b(-2)²+(-2)-6=0
-8a+4b-8=0
-8a+4b=8
-2a+b=2    ...(1)

Given p(x) leaves remainder 4 when divided by x-2

p(2)=4
a(2)³+b(2)²+2-6=4
8a+4b=8
2a+b=2     ...(2)

adding (1) and (2) we get 
2b=4  ⇒b=2

putting b=2 in (1) we get 
-2a+2=2⇒-2a=0
a=0
1 4 1
thank you sir/madam , excellent help and response
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r u on 9th std?