7.Find the value of a and b so that x+1 and x-1 are factors of x4 +ax3 +2x2 -3x+b.
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The answer should be like this::
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Answer:
a=3 , b= -3
Step-by-step explanation:
x+1=0 and. x-1=0
x= -1 x=1
p(-1)= (-1)⁴+a(-1)³+2(-1)²-3(-1)+b
= 1 - a +2+3+b
=3-a+3+b
= 6-a+b
a=6+b ------(1)
p(1)=(1)⁴+a(1)³+2(1)²-3(1)+b
=1+a+2-3+b
=3+a-3+b
=a+b
-a =b -------(2)
putting eq(1) in eq(2)
-a=b
-(6+b)=b
-6-b=b
-6=2b
b= -3
putting b=-3 in eq(1)
a=6-3
a= 3
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