Question

if x + a is the factor of the polynomial x2 + px + q and x2 + mx + n find the value of a​

Answer 1

Answer:

a = (n-q) / (m-p)

Step-by-step explanation:

since x+a is the factor of both given polynomials

then,

(-a)²-pa+q = 0

=> a²-pa+q = 0................(1)

(-a)²-ma+n = 0

=> a²-ma+n = 0..............(2)

from (1) and (2)

a²-pa+q = a²-ma+n

=> -pa+q = -ma+n

=> (m-p)a = n-q

=> a = (n-q) / (m-p)

hope this helps you