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Given, (x+a) is a factor of x^2+px+q and x^2 +mx+n.
x+a = 0 => x = -a
So,
a^2 - pa +q = 0 ......(1)
and
a^2 - ma + n = 0 .....(2)
From (1) & (2), we get
a^2 - pa + q = a^2 - ma + n
=> - pa + q = -ma + n
=> - pa + ma = n - q
=> a (m - p ) = ( n - q )
=> a = (n - q)/(m - p)
【 Hope it helps you 】
Given, (x+a) is a factor of x^2+px+q and x^2 +mx+n.
x+a = 0 => x = -a
So,
a^2 - pa +q = 0 ......(1)
and
a^2 - ma + n = 0 .....(2)
From (1) & (2), we get
a^2 - pa + q = a^2 - ma + n
=> - pa + q = -ma + n
=> - pa + ma = n - q
=> a (m - p ) = ( n - q )
=> a = (n - q)/(m - p)
【 Hope it helps you 】
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