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

Multiple Choice

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) $x = 0 \text {, multiplicity } 2 ; x = 7 \text {, multiplicity } 2 ; x = - 7 \text {, multiplicity } 1$