Question

IF x3-3x +2 is factor of x4-px2 +q
then
the value of p and q are res. ​

Answer 1

Step-by-step explanation:

SInce x2−3x+2 is factorizable as (x-2)(x-1).

So, two of the zeroes of the polynomial, x4−px2+q are 1 and 2.

Putting x = 1 and equating the polynomial to zero, we have ,

1 - p + q = 0 ——— (1)

Putting x = 2 and equating the polynomial to zero, we have ,

16 - 4p + q = 0 ———- (2)

Solving for p and q from (1) and (2) , we have,

1 - p + q = 16 - 4p + q

or, 3 p = 15 , or p = 5

Putting p = 5 in (1) gives , q = 4.

Thus (p,q)ϵ{(5,4)}