Question

Find the value of p and q so that x⁴+px³+2x²-3x+q is divisible by (x²-1).

Answer 1

Answer:

ATQ

(x^4+px^3+2x^2-3x+q)/(x^2-1) = 0....

This means that (x-1)(x+1) is a factor .....

So both x-1 and x+1 are the factors of the polynomial....

Step-by-step explanation:

On divididing the polynomial by x-1 we get ...

p+q = 0 ..... (1)

On divididing the polynomial by x+1 we get ....

p-q = 4 ...... (2)

On solving eqn (1) &) (2) we get :

p = 2

q = -2

Please refer to the attachment for the division...