Question

if x+a is a common factor of expressions f(x)=x^2 +px+qandg(x)=x^2+ mx +n ; show that : n-q÷m-p​

Answer 1

Answer:

-a

Step-by-step explanation:

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Answer 2

if (x+a) is a common factor of both than remainder should be equal

X+a = 0

x = (-a)

case (1)

f(-a) = a² -pa + q

case (2)

f(-a) = a² -ma + n

remainder equal .

a² -pa + q = a² -ma + n

ma - pa = (n - q)

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

(n - q)/(m - p) = a [Ans.]

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