MerilynS540896 MerilynS540896
  • 25-10-2022
  • Mathematics
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Use synthetic division to find the quotient and remainder when 7x^6-2x^4+9x^2 is divided by x-2The quotient is __The remainder is __

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YagoP757577 YagoP757577
  • 25-10-2022
[tex]\frac{7x^6-2x^4+9x^2}{x-2}[/tex]

so:

Quotient:

[tex]7x^5+14x^4+26x^3+52x^2+113x+226[/tex]

Remainder:

[tex]452[/tex]

Therefore:

[tex]\frac{7x^6-2x^4+9x^2}{x-2}=7x^5+14x^4+26x^3+52x^2+113x+226+\frac{452}{x-2}[/tex]

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