If x-a is the factor of 3x square - mx -na then prove that a = m+n / 3
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If x-a is a factor, a is a root of the polynomial.
[tex]3 x^{2} -mx-na=0, when x=a.
So, 3a^{2}-ma-na=0.
3a^{2}=ma+na
3a^{2}=a(m+n)
3a=m+n
a=(m+n)/3
[/tex]
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