Question

(x^2+10x+26)/(x+6) How do you get the quotient and remainder

Answer 1

quotient is x+4 and remainder 2.

Explanation:

Given an polynomial of degree 2 and we are to divide it by x+6.

To find quotient and remainder

We can do synthetic division

When we divide by x+6 consider -6

and write on left. Write the coefficient 1 , 10, 26 inside

-6 1 10 26

x -6 -24

---------------------

1 4 2 =R

So remainder is 2 and quotient is x+4

Let us verify

(x+4)(x+6) =
`x^2+10x+24`

If we add the remainder we are getting the given expression.

`x^2+10x+26`