Question

13 multiple answer 3 points
what are the zeros of the function $f(x)=x^3 - 10x^2 + 24x$? select all that apply.
6
-4
-6
0
10
4
24
previous

Explanation:

Step1: Factor out common term

$f(x) = x(x^2 - 10x + 24)$

Step2: Factor quadratic polynomial

$x^2 - 10x + 24 = (x-4)(x-6)$

Step3: Set function to 0

$x(x-4)(x-6) = 0$

Step4: Solve for x

$x=0$, $x=4$, $x=6$

Answer:

0, 4, 6