6
QuizMultiple Choice

Solving Polynomial Equations using Technology — Quiz

Question 6 • Mathematics III

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

Answer
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

Explanation

To find where the two equations in the system have the same y-value, set their right-hand sides equal. This gives 3x⁵ − 5x³ + 2x² − 10x + 4 = 4x⁴ + 6x³ − 11, which is choice C. The other choices do not set the two expressions equal or correctly rearrange them.

AI-written and checked against the verified answer.

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