Determine the real zeros of the polynomial and their multiplicities. Then decide whether the graph touches or crosses the
x-axis at each zero.

-$$f ( x ) = 3 \left( x ^ { 2 } + 5 \right) ( x - 4 ) ^ { 2 }$$
A)4, multiplicity 2, touches x-axis
B)-5, multiplicity 1, touches x-axis; 4, multiplicity 2, crosses x-axis
C)-5, multiplicity 1, crosses x-axis; 4, multiplicity 2, touches x-axis
D)4, multiplicity 2, crosses x-axis

Question

Determine the real zeros of the polynomial and their multiplicities. Then decide whether the graph touches or crosses the
x-axis at each zero.

-$$f ( x ) = 3 \left( x ^ { 2 } + 5 \right) ( x - 4 ) ^ { 2 }$$
A)4, multiplicity 2, touches x-axis
B)-5, multiplicity 1, touches x-axis; 4, multiplicity 2, crosses x-axis
C)-5, multiplicity 1, crosses x-axis; 4, multiplicity 2, touches x-axis
D)4, multiplicity 2, crosses x-axis

Quizplus · Accepted Answer

The Answer of Determine the real zeros of the polynomial and their multiplicities. Then decide whether the graph touches or crosses the
x-axis at each zero.

-$$f ( x ) = 3 \left( x ^ { 2 } + 5 \right) ( x - 4 ) ^ { 2 }$$
A)4, multiplicity 2, touches x-axis
B)-5, multiplicity 1, touches x-axis; 4, multiplicity 2, crosses x-axis
C)-5, multiplicity 1, crosses x-axis; 4, multiplicity 2, touches x-axis
D)4, multiplicity 2, crosses x-axis

Determine the Real Zeros of the Polynomial and Their Multiplicities f(x)=3(x2+5)(x−4)2f ( x ) = 3 \left( x ^ { 2 } + 5 \right) ( x - 4 ) ^ { 2 }f(x)=3(x2+5)(x−4)2

Determine the Real Zeros of the Polynomial and Their Multiplicities $f ( x ) = 3 \left( x ^ { 2 } + 5 \right) ( x - 4 ) ^ { 2 }$