Math, asked by saiteja9263, 11 months ago

If x-a is the factor of 3x^2-mx-nx then prove that a=m+n/3

Answers

Answered by sarikareal
2

Answer:

Step-by-step explanation:

F(x) =3x²-mx-nx

G(x) =x-a

It is given that F(x) is divisible by G(x), thus from remainder their

F(a) =0

3a²-ma-na=0

3a²=ma+na

3a²=a(m+n)

Dividing by a on both sides

3a=m+n

a=(m+n) /3

Hence proved

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