What is the quotient when 2x3 + x + 3 is divided by x + 1?
Solution:
We have to find the quotient when 2x3 + x + 3 is divided by x + 1
By using long division method
2x3 + x + 3 ÷ x + 1
We can verify the result using the division algorithm
Dividend = Divisor × Quotient + Remainder
( 2 x3 + x + 3 ) = ( x + 1 ) × ( 2 x2 - 2x + 3 ) + 0
( 2 x3 + x + 3 ) = (2 x3 - 2 x2 + 3 x + 2 x2 - 2 x + 3 ) + 0
( 2 x3 + x + 3 ) = ( 2 x3 + x + 3 )
LHS = RHS
Therefore, the quotient is 2x2 - 2x + 3.
What is the quotient when 2x3 + x + 3 is divided by x + 1?
Summary:
The quotient when 2x3 + x + 3 is divided by x + 1 is 2x2 - 2x + 3.