My Math Forum Factor: −6a^2 + 36a

 Algebra Pre-Algebra and Basic Algebra Math Forum

 November 5th, 2018, 03:58 AM #1 Newbie   Joined: Jul 2018 From: England Posts: 3 Thanks: 0 Factor: −6a^2 + 36a The above question is from the OpenStax Elementary Algebra book (Example 7.13). The answer give is: -6a(a - 6) Which clearly is correct. However, my answer was: 6a(-a + 6). Are there two correct answers or have I made a mistake? Thanks
 November 5th, 2018, 04:18 AM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,502 Thanks: 2511 Math Focus: Mainly analysis and algebra Both are correct. But I would prefer $$6a(6-a)$$ which looks a bit neater to me. Thanks from BrendanC
 November 5th, 2018, 05:44 AM #3 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,502 Thanks: 2511 Math Focus: Mainly analysis and algebra Note that you can always check your answer by multiplying out the factors: $$6a(-a+6)= (6a)(-a)+(6a)(6) = -6a^2+36a$$ Thanks from BrendanC
 November 5th, 2018, 12:25 PM #4 Global Moderator   Joined: Dec 2006 Posts: 19,878 Thanks: 1835 (2)(3)(a)(6 - a) or -(2)(3)(a)(a - 6) Thanks from BrendanC

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