Question

Fill in the blank so that the resulting statement is true.To divide x³+4x²-3x+6 by x-2 using synthetic division, the first step is to write

Answer 1

Explanation:

Given the polynomial:

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

To divide the polynomial by the linear function x-2 using synthetic division, first, set the linear function equal to 0 and solve for x:

`x-2=0\implies x=2`

The result is written outside the line as shown below:

Next, write the coefficients of the polynomial inside as shown above: