find an equation that has the given solutions. (There are many correct answers.)

Question

(a) the solutions are 0, 2, 9

Answer 1

The solutions are 0, 2 and 9.

The polynomial equation which has contian solutions are a, b and c is (x - a)(x - b)(x - c)

Let a = 0, b = 2 and c = 9 substitute in the above formula.

= (x - 0)(x - 2)(x - 9)

= x(x^2 - 9x - 2x + 18)

= x(x^2 - 11x + 18)

=x^3 - 11x^2 + 18x

The polynomial equation is x^3 - 11x^2 + 18x.