Question

The north part of the kingdom, represented by n(x)=6x^2+x−7, is being divided by a(x)=2x+3.

Use long division to divide n(x) by a(x).


What is the quotient?


Enter your answer as an expression, using ^ to indicate exponents, if necessary.


For example, if your answer is 42x^2+53x+64, enter it like this: 42x^2+53x+64

Answer 1

The correct answer is,

The quotient is 3x - 4

Explanation:

It is given that,

n(x) = 6x^2 + x − 7

a(x) = 2x + 3

To find n(x) by a(x)

n(x) = 6x^2 + x − 7

a(x) = 2x + 3

n(x) by a(x). can be written as,

3x - 4

2x + 3 ) 6x^2 + x − 7

6x^2 + 9x

-8x - 7

-8x - 12

5

Therefore quotient = 3x - 4