# What is the quotient when 2 x^{3} + x + 3 is divided by x + 1?

An expression having non- zero coefficients comprising of variables, constants and powers are called polynomials.

## Answer: The quotient when 2 x^{3} + x + 3 is divided by x + 1 is 2 x^{2} - 2x + 3.

Let's divide and find the quotient.

**Explanation:**

To find the quotient, we will use long division.

( 2 x^{3} + x + 3 ) ÷ ( x + 1 )

Also, by division algorithm we can verify our result.

Dividend = Divisor × Quotient + Remainder

⇒ ( 2 x^{3} + x + 3 ) = ( x + 1 ) × ( 2 x^{2} - 2x + 3 ) + 0

⇒ ( 2 x^{3} + x + 3 ) = (2 x^{3} - 2 x^{2} + 3 x + 2 x^{2 }- 2 x + 3 ) + 0

⇒ ( 2 x^{3} + x + 3 ) = ( 2 x^{3} + x + 3 )

⇒ LHS = RHS

You can also use Cuemath's Polynomial Calculator to divide the polynomials.