Question

Use synthetic division to solve 4x3-3x2+5x+6/x+6 What is the quotient?

Answer 1

D.) 4x^2-27x+167-996/x+6

Answer 2

Answer: Using synthetic division to divide 4x^3-3x^2+5x+6 by x+6, the quotient is

Solution:

Using synthetic division:

4x^3 - 3x^2+5x+6

3rd grade: ! 4 -3 5 6

x+6→ -6 ! ____-24__162_-1,002

2nd grade: ! 4 -27 167 -996=Remainder

Quotient: 4x^2-27x + 167

Dividend / divisor = Quotient + Remaider / divisor

(4x^3-3x^2+5x+6) / (x+6) = 4x^2-27x+167 - 996 / (x+6)