Using a graphing utility,graph $$f ( x ) = x ^ { 5 } - 14 x ^ { 4 } + 49 x ^ { 3 }$$ and approximate the zeros and their multiplicity.
A) $x = 0 , \text { multiplicity } 2 ; x = 7 , \text { multiplicity } 3$
B) $x = 0 , \text { multiplicity } 1 ; x = 7 , \text { multiplicity } 1 ; x = - 7 , \text { multiplicity } 1 ; x = \text { \#\# } \mathrm { b \#\#} = \mathrm { m } , \text { multiplicity } 1$
C) $x = 0 , \text { multiplicity } 3 ; x = 7 , \text { multiplicity } 2$
D) $x = 0 , \text { multiplicity } 3 ; x = - 7 , \text { multiplicity } 2$
E) $x = 0 \text {, multiplicity } 2 ; x = 7 \text {, multiplicity } 2 ; x = - 7 \text {, multiplicity } 1$

Question

Quizplus · Accepted Answer

The polynomial can be factored as $x^3(x-7)^2$, indicating zeros at $x=0$ with multiplicity 3 and $x=7$ with multiplicity 2.

Using a Graphing Utility,graph f(x)=x5−14x4+49x3f ( x ) = x ^ { 5 } - 14 x ^ { 4 } + 49 x ^ { 3 }f(x)=x5−14x4+49x3

Using a Graphing Utility,graph $f ( x ) = x ^ { 5 } - 14 x ^ { 4 } + 49 x ^ { 3 }$