7
QuizMultiple Choice

Solving Polynomial Equations using Technology — Quiz

Question 7 • Algebra 2 with Probability

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 ?

Answer
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 negative x cubed minus 2 x
D
y is equal to 4 x squared y is equal to x cubed plus 2 x

Explanation

To find the roots, look for the x-values where the two sides of 4x² = x³ + 2x are equal. Represent each side as a separate equation for y: y = 4x² and y = x³ + 2x. Their intersections have x-values that satisfy the original equation, so the correct choice is D.

AI-written and checked against the verified answer.

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