Writing Polynomial Functions from Complex Roots Answers

Write an equation for the cubic polynomial function shown. To find the equation of the function, first find the rangedomainzeroes of the graph.

The linear factors of the cubic are (x – 2)(x – 3)(x – 5)(x – 2)(x – 3)(x – 5)(x + 5)(x + 2)(x + 3)(x + 5)(x + 2)(x + 3)(x – 5).

To solve for the leading coefficient, use a = –5(0 – 2)(0 – 3)(0 – 5) a = 5(0 – 2)(0 – 3)(0 – 5) 5 = a(0 – 2)(0 – 3)(0 – 5)–5 = a(0 – 2)(0 – 3)(0 – 5).

The equation of the polynomial function is:

f(x) = x4 − [___]x3 + [___]x2 + [___]x − [___]

f(x) = x4 − [___]x3 + [___]x2 + [___]x − [___]