Question

find the value of A and b so that (x+1) and ( x-1 ) are factory of x⁴+ax³-3x²+2x+b​. GALT ANSWER MAT DENA

Answer 1

Answer:

As (x+1) and (x-1) are the factors of

f(x)=x4+ax3-3x2+2x+b

Then,

f(-1) = 1 - a - 3 - 2 + b = 0

And, f(1) = 1 + a -3 + 2 + b = 0

So,

1 - a - 3 - 2 + b = 1 + a - 3 + 2 + b

or, 2a -4 = 0

or, a = -2

Similarly, b = 2

Thus, a = -2 and b = 2

HOPE THIS COULD HELP!!