Question

Find the dividend if quotient is x–3, remainder is 7x–9 and divisor is x^2-2​

Answer 1

`\implies Dividend = x^3-3x^2+4x-3`

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 ,

`\implies Dividend = Quotient* Divisor + Remainder`

Substituting the respective values :-

`\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`