Question

Find the quotient and the remainder for
answer fast guys​

Answer 1

$\large\colorbox{orange}{May Be Helpful ✌️ Dear ✌️}$

Answer 2

$\texttt{\textsf{\large{\underline{Solution}:}}}$

By division method, we can easily find out the quotient and remainder.

x - 1 ) 3x³ - 2x² + x - 2 ( 3x² + x + 2

         3x³ - 3x²

    ( - )    ( + )

------------------------------------

                    x² + x

                    x² -  x

               ( - ) ( + )

------------------------------------

                          2x - 2

                          2x - 2

                      ( - )  ( + )

------------------------------------

                               0

So,

→ Quotient = 3x² + x + 2

→ Remainder = 0

$\texttt{\textsf{\large{\underline{Answer}:}}}$

• Quotient = 3x² + x + 2
• Remainder = 0

$\texttt{\textsf{\large{\underline{Verification}:}}}$

We know that,

→ Dividend = Divisor × Quotient + Remainder

Here,

→ Dividend = 3x³ - 2x² + x - 2

Divisor × Quotient + Remainder,

= (x - 1)(3x² + x + 2) + 0

= x(3x² + x + 2) - 1(3x² + x + 2)

= 3x³ + x² + 2x - 3x² - x - 2

= 3x³ - 2x² + x - 2

= Dividend.

So, our answer is correct (Verified)