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]
