How do you find the quotient of x^2+5x+6 / x-4?

1 Answer
Mar 6, 2016

Answer:

x + 9

Explanation:

The quotient of a polynomial of degree n, when divided by a polynomial of degree m#<=#n, is a polynomial of degree #n-m#..
The remainder is a polynomial of degree m#-#1.
Here, n = 2 and m = 1.
So, a x + b + #c/(x-4)=(x^2+5x+6)/(x-4)#.
To get a, b and c, multiply both sides by #x-4# and compare coefficients of like terms.
The quotient is x + 9 and the remainder is 42..