Question

If divisor is 3x-2x +2 quotient is x + 1 and remainder is
then find the divident.​

Answer 1

$Given \: Divisor = 3x-2 , \: Quotient = x+2 \\and \: Remainder = x+1$

/* By Division Algorithm */

$\boxed{ \pink{ Dividend = Divisor \times Quotient + Remainder }}$

$\red{ Dividend} \\= (3x-2)(x+2) + (x+1)$

$= 3x(x+2) -2(x+2) + x + 1 \\= 3x^{2}+6x-2x-4+x+1\\=3x^{2}+5x-3$

Therefore.,

$\red{ Dividend}\green { = 3x^{2}+5x-3}$

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