rewriting a polynomial

Question

how do I write x²+10x ÷ x+5 in the form q(x) + r(x)/b(x)

Answer 1

q(x) is the quotient

r(x) is the remainder

b(x) is the divisor

 

 

We can find the answer by using long division.

 

Dividend = x² + 10x + 0

Divisor = x + 5

 

           

      

                       x + 5

            _____________

(x + 5) |x² + 10x + 0

            x² + 5x

           ___________

                   5x  + 0

                   5x  + 25

                  __________

                            -25

 

q(x) = x + 5

r(x) = -25

b(x) = x + 5

 

Now just put these values into the required form.