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Solving Polynomial Equations using Technology — Quiz Answers

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Which system of equations can be used to find the roots of the equation 4 x to the 5th power minus 12 x to the 4th power plus 6 x is equal to 5 x cubed minus 2 x ?

A
y is equal to negative 4 x to the 5th power plus 12 x to the 4th power minus 6 x y is equal to 5 x cubed minus 2 x
B
y is equal to 4 x to the 5th power minus 12 x to the 4th power plus 6 x y is equal to negative 5 x cubed plus 2 x
C
y is equal to 4 x to the 5th power minus 12 x to the 4th power plus 6 x y is equal to 5 x cubed minus 2 x
D
y is equal to 4 x to the 5th power minus 12 x to the 4th power minus 5 x cubed plus 8 x y is equal to 0
3

Which system of equations can be used to find the roots of the equation 4 x squared is equal to x cubed plus 2 x ?

A
y is equal to negative 4 x squared y is equal to x cubed plus 2 x
B
y is equal to x cubed minus 4 x squared plus 2 x y is equal to 0
C
y is equal to 4 x squared y is equal to x cubed plus 2 x
D
y is equal to 4 x squared y is equal to negative x cubed minus 2 x
5

Which equation can be solved by using this system of equations? y is equal to 3 x cubed minus 7 x squared plus 5 y is equal to 7 x to the 4th power plus 2 x

A
7 x to the 4th power plus 3 x cubed minus 7 x squared plus 2 x plus 5 is equal to 0
B
7 x to the 4th power plus 2 x is equal to 0
C
3 x cubed minus 7 x squared plus 5 is equal to 7 x to the 4th power plus 2 x
D
3 x cubed minus 7 x squared plus 5 is equal to 0
6

Which equation can be solved by using this system of equations? y is equal to 3 x to the 5th power minus 5 x cubed plus 2 x squared minus 10 x plus 4 y is equal to 4 x to the 4th power plus 6 x cubed minus 11

A
3 x to the 5th power plus 4 x to the 4th power plus x cubed plus 2 x squared minus 10 x minus 7 is equal to 0
B
4 x to the 4th power plus 6 x cubed minus 11 is equal to 0
C
3 x to the 5th power minus 5 x cubed plus 2 x squared minus 10 x plus 4 is equal to 4 x to the 4th power plus 6 x cubed minus 11
D
3 x to the 5th power minus 5 x cubed plus 2 x squared minus 10 x plus 4 is equal to 0
10

Which system of equations can be used to find the roots of the equation 12 x cubed minus 5 x is equal to 2 x squared plus x plus 6 ?

A
y is equal to 12 x cubed minus 2 x squared minus 6 x y is equal to 6
B
y is equal to 12 x cubed minus 5 x plus 6 y is equal to 2 x squared plus x
C
y is equal to 12 x cubed minus 2 x squared minus 6 x minus 6 y is equal to 0
D
y is equal to 12 x cubed minus 5 x y is equal to 2 x squared plus x plus 6

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