How do you use synthetic division to divide #x^3+5x^2-x-9# by #x+2#?
Synthetic division of polynomials is similar to long division of numbers...
Write the coefficients of the dividend
Write the coefficients of the divisor
Write the first coefficient
Write the result
Subtract this from the divisor to give the remainder
Write the next term
Write the next coefficient
Continue in similar fashion, until there are no more terms of the dividend to bring down.
The final remainder is the remainder of the whole division.
In our case, we find that