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QuizMultiple Choice

Solving Quadratic Equations by Factoring — Quiz

Question 3 • Algebra II

Use the zero product property to find the solutions to the equation x squared minus 13 x plus 30 is equal to 0

Answer
A
x is equal to 3 or x is equal to 10
B
x is equal to negative 3 or x is equal to 10
C
x is equal to negative 10 or x is equal to 3
D
x is equal to negative 10 or x is equal to negative 3

Explanation

Factor the quadratic: x² − 13x + 30 = (x − 3)(x − 10), since −3 and −10 multiply to 30 and add to −13. By the zero product property, x − 3 = 0 or x − 10 = 0, so x = 3 or x = 10. The correct choice is A, “x is equal to 3 or x is equal to 10.”

AI-written and checked against the verified answer.

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