Answer:
x^2 - 2x - 12 with remainder 12
Explanation:
Synthetic division is the fastest way in which to carry out this division.
The divisor (x - 1) from long division corresponds to the divisor 1 in synthetic division. Setting up synthetic division, we get:
1 / 1 -3 -10 24
1 -2 -12
--------------------------------
1 -2 -12 12
The first three digits {1, -2, -12} are the coefficients of the quotient, and 12 represents the remainder:
The quotient is 1x^2 - 2x - 12 and the remainder is 12.