Question

Find the values of a and b so that (x + 1) and (x - 1) are factors of x4 + ax - 3x^2a +
2x + b.​

Answer 1

Answer:

a=-2 ; b=2

Step-by-step explanation:

p(x)=x^4 + ax - 3x^2 +2x + b

x+1=0

x=-1

p(-1)=0

(-1)^4+a(-1)-3(-1)^2+2(-1)+b=0

1-a-3-2+b=0

-4-a+b=0

b-a=4.....(1)

x-1=0

x=1

p(1)=0

(1)^4+a(1)-3(1)^2+2(1)+b=0

1+a-3+2+b=0

a+b=0.....(2)

From (1) and (2)

a=-2

b=2