Question

Divide 2x2 + 7x – 3 by 2x + 5. Which expression represents the quotient and remainder?
a. x + 1 + 2/2x+5
b. x + 1 – 33/2x+5
c.x + 1 + 27/2x+5
d.x + 1 – 8/2x+5

Answer 1

Answer:

Step-by-step explanation:

Answer is d

Answer 2

The expression which represents the quotient and remainder is $x+1-\frac{8}{2x+5}$ .

What is Quotient and remainder?

Quotient and remainder: The number of times we have subtracted is called the quotient. The number that is leftover from after subtracting as often as possible is called the remainder .

We have,

$2x^2 + 7x - 3$ to be divided by $2x + 5$,

So,

By using division algorithm,

$f(x)=g(x)\ *\ q(x)+r(x)$

$Dividend = (Divisor\ *\ Quotient) + Remainder$

S0,

$2x^2 + 7x - 3 = ((2x+5) *\ q(x)) + r(x)$

Now,

$2x + 5$ $\frac{}{)2x^2+7x-3(}$ $x+1$

          $\frac{2x^2+5x\ \ \ \ \ }{}$

                $\frac{2x\ +\ 5\ \ }{}$

                      $\frac{-8\ }{}$

                     

Hence, we can say that the expression which represents the quotient and remainder is $x+1-\frac{8}{2x+5}$ .

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