Calculate the quotient and remainder of (x³+2x²-4x+3) ÷ (x²-1)

Start by rewriting the problem in long division notation.
Make sure there are no missing exponents in either the divisor or dividend. In this problem the divisor has no x term; you should write it with a coefficient of 0.



Answer the question: "What times the first term in the divisor, x² will give me exactly the first term in the dividen, x³?" The answer is x, so you should write x above -4x, since it and the number you just came up with x are like terms.



Multiply the divisor by x and write the result below the dividend:



Now multiply everything in that bottom line by -1 and then combine the like terms.



Drop down the next term in the dividend polynomial, in this case +3 and repeat the process until there are no more terms to drop.



The quotient is the quantity above the division symbol, x+2 and the remainder is -3x+1

Divide 2x³-13x²+17x+12 by x-4