If f(x)=|(x+c1,x+a,x+a),(x+b,x+c2,x+a),(...

If `f(x)=|(x+c_1,x+a,x+a),(x+b,x+c_2,x+a),(x+b,x+b,x+c_3)|` then show that f(x) is linear in x. Hence deduce`f(0)= (bg(a)-ag(b))/((b-a))` where `g(x)=(c_1-x)(c_2-x)(c_3-x)`

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