Question

If x+a is a common factor of x2+px+q & x2+mx+n than prove that a= n-q/p-n​

Answer 1

Answer:

Step-by-step explanation:

given two polynomials are x^2+ px +q

and the second one is x^2 +mx+n

and x+a  is a factor of both means x = -a would satisfy the both equation

A/Q

[-a]^2+p[-a]+q = [-a]^2 +m[-a] + n

a^2 -ap +q = a^2 - am +n

am - ap = n -q

a [m- p] =n - q

a = n-q/ m - p

which is equal to RHS

HENCE LHS = RHS

Answer 2

Answer:

Hope this helps you ✌️✌️