Factor x^2 - 5x + 6.

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Master the Praxis Mathematics (5165) Test. Enhance your skills with flashcards and practice questions, each with detailed explanations. Ace your exam confidently!

Multiple Choice

Factor x^2 - 5x + 6.

Explanation:
When you factor a quadratic with leading coefficient 1, you look for two numbers that multiply to the constant term and add to the coefficient of x. For x^2 - 5x + 6, you want two numbers that multiply to 6 and sum to -5. The numbers -2 and -3 fit perfectly, since (-2) + (-3) = -5 and (-2)(-3) = 6. This lets you write x^2 - 5x + 6 as (x - 2)(x - 3). Expanding confirms the result: (x - 2)(x - 3) = x^2 - 5x + 6. The other factor pairs don’t match both the sum and the product required, so they don't reproduce the original expression.

When you factor a quadratic with leading coefficient 1, you look for two numbers that multiply to the constant term and add to the coefficient of x. For x^2 - 5x + 6, you want two numbers that multiply to 6 and sum to -5. The numbers -2 and -3 fit perfectly, since (-2) + (-3) = -5 and (-2)(-3) = 6. This lets you write x^2 - 5x + 6 as (x - 2)(x - 3). Expanding confirms the result: (x - 2)(x - 3) = x^2 - 5x + 6. The other factor pairs don’t match both the sum and the product required, so they don't reproduce the original expression.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy