Form a polynomial whose real zeros and degree are given Zero

Form a polynomial whose real zeros and degree are given. Zeros: -2, 0, 5; degree: 3 Type a polynomial with integer coefficients and a leading coefficient of 3. f(x) = __ (Answer must be written in standard form.)

Solution

Polynomial of degree 3

zero\'s are at : -2, 0, 5

Equation will be

(x - (-2))*(x - 0)*(x - 5) = 0

(x + 2)*(x)*(x - 5) = 0

(x^2 + 2x)*(x - 5) = 0

x^3 - 5x^2 + 2x^2 - 10x = 0

x^3 - 3x^2 - 10x = 0