Question

Use synthetic division to find the quotient and remainder when 3x³9x² + 8 is divided by x-2 bycompleting the parts below.(a) Complete this synthetic division table.2) 3 -9 0 8(b) Write your answer in the following form: Quotient +-29x + 8x³-93x-2Remainderx-2x-21184 FS=107

Answer 1

a) Complete the calculation as shown below

Therefore,

`\Rightarrow(3x^3-9x^2+8)/(x-2)=3x^2-3x-6+((-4))/(x-2)`

The answers to part b) are 3x^2-3x-6 and -4.