Question

a²sin(B-C)/ sinB+ SINC + a²sin(C-A) /sinC+ sinA + c²sin(A-B) / sinA+sinB
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Answer 1

As 2 is the zero of the polynomial.

We know that if α is a zero of the polynomial p(x), then p(α) = 0

Substituting 

⇒ 4 + 6 + p = 04+6+p=0

⇒ 10 + p = 010+p=0

⇒ p = -10p=−10