Question

If x+1 and x-1 are the factors of p (x) (ax^3+x^2-2x+b)font the values of a and b

Answer 1

Answer:

a=2,b=-1

Step-by-step explanation:

if x=1

a(1)³+(1)²-2(1)+b=0

a+b+1-2=0

a+b=1

if x=-1

a(-1)³+(-1)²-2(-1)+b=0

-a+1+2+b=0

a-b=3

a+b=1-------------eq.1

a-b=3-------------eq.2

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a+a-b+b=1+3

2a-b+b=4

2a=4

a=2

a-b=3

2-b=3

b=-1

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