9
QuizMultiple Choice

Solving Polynomial Equations using Technology — Quiz

Question 9 • Algebra 2 with Probability

The graph of this system of equations is used to solve 4 x squared minus 3 x plus 6 is equal to 2 x to the 4th power minus 9 x cubed plus 2 x y is equal to 4 x squared minus 3 x plus 6 y is equal to 2 x to the 4th power minus 9 x cubed plus 2 x What represents the solution set?

Answer
A
y -intercepts of the graph
B
x -coordinates of the intersection points
C
y -coordinates of the intersection points
D
x - intercepts of the graph

Explanation

The system graphs the two expressions as y-values: y = 4x² − 3x + 6 and y = 2x⁴ − 9x³ + 2x. At an intersection, both equations have the same y-value, so the x-coordinate gives an x-value that makes the original expressions equal. Therefore, the solution set is the x-coordinates of the intersection points.

AI-written and checked against the verified answer.

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