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