Question

Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. n = 3; 3 and 4 i are zeros; f(1) = - 34 f(x)= (Type an expression using x as the variable. Simplify your answer.)

Answer 1

ANSWER:- Given that for is a third degree Polynomial 3 and ai and FCI)=-34. whose two Zeroes are since food is a third degree paynomal, it has at most 3 Zeroes and two of them are given. we know that complen roots are occur as conjugales Ai is a rook of flor) -11 is also a rool of tence the Three Zeroes of Foo) are 3,41 €6-01 le fox) = (2-3) (n=41) (wte) - (1-3) (x - (41)2) (n-3) (+16) x + 16x-35 - - 46 x² zu + 160-48 front zig fror) - x 3 x ² + 16x-48 lence for) = 3.3.1+16.1 = 17-51 -34 le f(1) =-34 Hence the requared Polynomia) fox = R32 +164-48

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