Question

Divide 2x2 + 7x – 3 by 2x + 5. Which expression represents the quotient and remainder?

Answer 1

(2x²+7x-3)/(2x+5)=(2x²+5x+2x-3)/(2x+5)
=x(2x+5)/(2x+5)+ (2x+5-5-3)/(2x+5)
=(x+1)/(2x+5)-8/(2x+5)
==> 2x²+7x-3=(x+1)(2x+5)-8
Quotient=x+1 remainder=-8

Answer 2

x+1 and remainder is -8

Explanation:

Given that an algebraic expression

`2x^2+7x-3` is divided by
`2x+5`

We have to find the quotient and remainder.

`2x+5) 2x^2+7x-3(x+1\\\\           2x^2+5x\\           --------------\\                     2x-3\\\\                      2x+5\\            ----------------\\                         -8 =R`

Quotient is x+1 and remainder is -8