. If (x + a) is the factor of the polynomials (x2 + px + q) and (x2 + mx + n) then the value of ‘a’ is

Best Answer

Answer ||| A

Solution |||

Property:

Factor theorm: If (x - a) is a factor of the polynomial f(x) , then f(a) = 0.

Here given (x + a) is the factor of the polynomials (x² + px + q) and (x² + mx + n)

So ,( - a)² + p( - a) + q = 0 and ( - a)² + m( - a) + n = 0

a² - ap + q = 0 and a² - am + n = 0

a² = ap - q and a² = am - n

equating both the above equations, we get

ap - q = am - n

ap - am = q - n

a(p - m) = q - n

a = 

a =