Find the real zeros of the function, state their multiplicities if it is a number other than 1.
-$f ( x ) = x ^ { 3 } + x ^ { 2 } - 20 x$
A)x = 3, x = 4
B)x = 0, x = 3, x = 4
C)x = 0, x = - 5, x = 4
D)x = - 5, x = 4

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is $x$, to get $x(x^2 + x - 20)$. Then, factor the quadratic to get $x(x + 5)(x - 4)$. This gives the zeros $x = 0$, $x = -5$, and $x = 4$, each with a multiplicity of 1.

Find the Real Zeros of the Function, State Their Multiplicities f(x)=x3+x2−20xf ( x ) = x ^ { 3 } + x ^ { 2 } - 20 xf(x)=x3+x2−20x

Find the Real Zeros of the Function, State Their Multiplicities $f ( x ) = x ^ { 3 } + x ^ { 2 } - 20 x$