What is the remainder of 3x^2-4x+9÷x+6

Question

Use synthetic division to solve this problem

Answer 1

Remainder is 141

(3x² - 4x + 9)/(x + 6) = 3x - 22 remainder 141

Looks like this

        3x- 22

x + 6)3x² – 4x + 9

        - (3x²  + 18x)

                  - 22x + 9

                  - (-22x – 132)

                               141

You can check by doing the multiplication

(x + 6)(3x - 22) + 141

3x² -22x + 18x - 132 + 141

3x² - 4x + 9

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