How do you use synthetic substitution to evaluate f(2) for `f(x)=x^4-4x^3+2x^2-3`?

Rewrite `f(x)` so all powers of `x` are represented (in descending power sequence).
`color(white)("XXXX")``f(x)=x^4-4x^3+2x^2+0x-3`

`color(red)("[A]")``color(white)("XXXX")`Write the substitution value (`2`) separated by a vertical bar from a row of the from the coefficients as noted above.
`color(white)("XXXXXX")`Draw a vertical line below the coefficients, allowing enough space to write another row of numbers between the coefficients and the line.

`color(red)("[B]")``color(white)("XXXX")`Copy the first coefficient to a position below the line.

`color(red)("[C]")``color(white)("XXXX")`Multiply the substitution value and the number just written below the line and record the product above the line under the second coefficient.

`color(red)("[D]")``color(white)("XXXX")`Add the product just developed and the second coefficient and write the sum below the line.

`color(red)("[E]")``color(white)("XXXX")`Multiply the substitution value and the number just written below the line and record the product below the line.

`color(red)("[F] to [I]")``color(white)("XXXX")`Continue this process until all coefficients have been processed.

`color(red)("[I]")`The solution is the last value written below the line.