Find the zeros of the polynomial function
-$$f ( x ) = x ^ { 3 } - 10 x ^ { 2 } + 25 x$$
A) $x = 1 , x = 5$
B) $x = 0 , x = 5$
C) $x = 0 , x = - 5$
D) $x = 0 , x = - 5 , x = 5$

Question

Quizplus · Accepted Answer

To find the zeros of the polynomial $f(x) = x^3 - 10x^2 + 25x$, factor out the common term $x$, giving $x(x^2 - 10x + 25)$. The quadratic can be factored further as $x(x-5)^2$, indicating zeros at $x = 0$ and $x = 5$, with $x = 5$ being a repeated root.

Find the Zeros of the Polynomial Function - f(x)=x3−10x2+25xf ( x ) = x ^ { 3 } - 10 x ^ { 2 } + 25 xf(x)=x3−10x2+25x

Find the Zeros of the Polynomial Function
- $f ( x ) = x ^ { 3 } - 10 x ^ { 2 } + 25 x$