Question

Find the zeros of the function.

f(x) = 3x3 - 12x2 - 15x

Answer 1

The zeros of the function are values of x that cause the corresponding y-values to be zero.

3x^3 - 12x^2 - 15x = 0

Answer 2

There is a common factor of x in all three terms of the left side of the equation.
Factor (not divide) it out.

3x^3 - 12x^2 - 15x = 0
3x ( x^2 -4 x - 5) = 0

Answer 3

The trinomial x^2 -4 x - 5 will factor over the set of Integers.

3x ( x^2 -4 x - 5) = 0
3x (x - 5) (x + 1) = 0
Use the Zero Product Property next.

Answer 4

3x (x - 5) (x + 1) = 0

3x = 0 OR x - 5 = 0 OR x + 1 = 0

Solve each of the three linear equations for x to get the three zeros.

@nezzy

Answer 5

0, -1, and 5