3
QuizMultiple Choice

Solving Polynomial Equations using Technology — Quiz

Question 3 • Algebra 2 with Probability

What are the roots of the polynomial equation x cubed minus 5 x plus 5 is equal to 2 x squared minus 5 ? Use a graphing calculator and a system of equations. Round noninteger roots to the nearest hundredth.

Answer
A
3 , 5
B
negative 3 , negative 5
C
negative 2 point 2 4 , 2 , 2 point 2 4
D
negative 2 point 2 4 , negative 2 , 2 point 2 4

Explanation

Move all terms to one side: x³ − 2x² − 5x + 10 = 0. Factor by grouping to get (x² − 5)(x − 2) = 0, so the roots are √5, −√5, and 2. Since √5 rounds to 2.24, the roots are −2.24, 2, and 2.24, which is choice B.

AI-written and checked against the verified answer.

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