quadariusharrison67 quadariusharrison67
  • 22-02-2021
  • Mathematics
contestada

Which polynomial represents the sum below (x^8 + 2x^4 + 1) + (2x^4 + x^2 + 1)

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LadyStrange
LadyStrange LadyStrange
  • 22-02-2021

To add the polynomials [tex] \tt {x}^{8} + {2x}^{4} + 1 [/tex] and [tex] \tt {2x}^{4} + {x}^{2} + 1 [/tex] let us first combine the like and unlike terms and add them :

[tex] =\tt {x}^{8} + {2x}^{4} + 1 + \tt {2x}^{4} + {x}^{2} + 1[/tex]

[tex] = \tt {x}^{2} + {x}^{2} + {x}^{2} + {x}^{2} + {2x}^{2} + {2x}^{2} + {2x}^{2} + {2x}^{2} + {x}^{2} + 1 + 1 [/tex]

[tex] =\tt {13x}^{2} + 2[/tex]

○=> Therefore :

[tex]\color{hotpink} = \tt {x}^{8} + {2x}^{4} + 1 + \tt {2x}^{4} + {x}^{2} + 1 \color{plum}= {13x}^{2} + 2[/tex]

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