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  • 23-05-2021
  • Mathematics
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Find the dividend if quotient is x–3, remainder is 7x–9 and divisor is x^2-2​

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VirαtKσhli
VirαtKσhli VirαtKσhli
  • 23-05-2021

Answer:

[tex]\implies Dividend = x^3-3x^2+4x-3[/tex]

Step-by-step explanation:

Given :-

  • Quotient is x–3, remainder is 7x–9 and divisor is x^2-2 .

And we need to find out the Dividend. We know that ,

[tex]\implies Dividend = Quotient\times Divisor + Remainder [/tex]

Substituting the respective values :-

[tex]\implies Dividend = (x-3)(x^2-2)+7x-9 \\\\\implies Dividend = x^3-2x-3x^2+6+7x-9 \\\\\implies Dividend = x^3-3x^2+4x-3[/tex]

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