Question

If each zero of the polynomial x^2 +mx+n is 3 times the zero of 3 x^2-5x+2 find the value of m and n​

Answer 1

Answer:

Let f(x)=5x

3

+Mx+N.

Also, x

2

+x+1=(x−ω)(x−ω

2

)

f(x) is divisible by x

2

+x+1. Hence,

f(ω)=5+Mω+N=0

and f(ω

2

)=5+Mω

2

+N=0

⟹M=0;N=−5

⟹M+N=−5