The binomial x + 2 is the divisor of 4x^3 – 9x^2 – 30x + 8. what is the qoutient to this? plz explain.

Question

callisto · Answer

2 methods: 
1. By long division
           4x^2-17x +4                     <- Quotient
         --------------------
x + 2 ) 4x^3 – 9x^2 – 30x + 8
            4x^3 + 8x^2
           --------------------
                     -17x^2 - 30x
                     -17x^2 - 34x
                    ----------------
                                        4x + 8
                                        4x + 8
                                        ------
                                                 0     <- remainder
2. By synthetic division
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R = remainder