Which of the following is a factor of both x^2-x-6 and x^2-5x +6? A. x-3 B. x+3 C. x-2 D x+2    

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The common factor of the given expressions has to be determined.

x^2-x-6

= x^2 - 3x + 2x - 6

= x(x - 3) + 2(x - 3)

= (x + 2)(x - 3)

x^2 -5x +6

= x^2 - 3x - 2x + 6

= x(x - 3) - 2(x - 3)

= (x - 2)(x - 3)

The common factor is (x - 3)

Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial