9
QuizMultiple Choice

Solving Quadratic Equations by Factoring

Question 9 • FL-1200700-Mathematics for College Algebra MIS

Use the zero product property to find the solutions to the equation x2 – 13x + 30 = 0.

Answer
A
x = –10 or x = –3
B
x = –10 or x = 3
C
x = –3 or x = 10
D
x = 3 or x = 10

Explanation

Factor the quadratic by finding two numbers that multiply to 30 and add to −13: −10 and −3. Thus, x² − 13x + 30 = (x − 10)(x − 3) = 0. By the zero product property, x − 10 = 0 or x − 3 = 0, so x = 10 or x = 3. Choice D gives these solutions.

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