Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.

Question

Third-degree, with zeros of , , and , and passes through the point .

Answer 1

zeros of a, b and c

y= j(x-a)(x-b)(x-c) = 0 then passing through a point (d,e)

e=j(d-a)(d-b)(d-c)

j= e/[(d-a)(d-b)(d-c)

(d-a)(d-b)(d-c)y = e(x-a)(x-b)(x-c) is a 3rd degree function with zeros a,b and c, passing through the point (d,e), with no fractions, or you could keep the fraction j and reduce it to lowest terms if you knew a,b,c,d, and e