4. Luke factored x-9x + 14 as shown. I know -7 and -2 have a sum...

 

Transcribed Image Text:

4. Luke factored x-9x + 14 as shown. I know -7 and -2 have a sum of -9 and a product of 14, so the factors must be x - 7 and x-2. Luke showed his work to Destiny. who was working on the same problem. She said that Luke could not be correct because she found different factors for x-9x + 14. Then, she showed Luke her verification. (2-x)(7-x)=(2)(7)+(2)(-x)+(7)(-x)+(-x)(-x) = 14-2x-7x+x = 14-9x+x = x-9x+14 Explain how this discussion could be resolved. 4. Luke factored x-9x + 14 as shown. I know -7 and -2 have a sum of -9 and a product of 14, so the factors must be x - 7 and x-2. Luke showed his work to Destiny. who was working on the same problem. She said that Luke could not be correct because she found different factors for x-9x + 14. Then, she showed Luke her verification. (2-x)(7-x)=(2)(7)+(2)(-x)+(7)(-x)+(-x)(-x) = 14-2x-7x+x = 14-9x+x = x-9x+14 Explain how this discussion could be resolved.