What is the other factor of x the power of 2 + x -72 if one of its factor is x -8

Answer: The other factor is +9x+9.Step-by-step explanation:Divide 2+−72x2+x−72 by −8x−8.Write coefficients: 1, 1, −721, 1, −72 and use root 88 (because −8=0⇒=8x−8=0⇒x=8)Bring down 1.Multiply 8⋅1=88⋅1=8; add to the next coefficient: 1+8=91+8=9.Multiply 8⋅9=728⋅9=72; add to −72−72: −72+72=0−72+72=0.Quotient is +9x+9, remainder 00.So 2+−72=(−8)(+9)x2+x−72=(x−8)(x+9).Quick check: (−8)(+9)=2+9−8−72=2+−72(x−8)(x+9)=x2+9x−8x−72=x2+x−72. ✅

Answered by aldayamaxene5 | 2025-08-23