Question

If(x+1)and(x-1) are factors of p(x)=ax^3+x^2-2x+b,find the value of a and b

Answer 1

x+1=0
x=-1
put the value of x in p(x)
u will get a eqn
-a+1+2+b---------------(1)
then put x-1=0
x=1
then again put the value of x in p(x)
a+1-2+b=a+b-1--------------(2)
add eqn(1) and eqn(2)
-a+1+2+b+a+b-1=0
solve it
u will get b=-1
then put the value of b in any eqn 2
u will get a=2

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