Question

any easy method to make long division with variables

Answer 1

Step 1: Make sure the polynomial is written in descending order. If any terms are missing, use a zero to fill in the missing term (this will help with the spacing). In this case, the problem is ready as is.



Step 2: Divide the term with the highest power inside the division symbol by the term with the highest power outside the division symbol. In this case, we have x3 divided by x which is x2.



Step 3: Multiply (or distribute) the answer obtained in the previous step by the polynomial in front of the division symbol. In this case, we need to multiply x2 and x + 2.



Step 4: Subtract and bring down the next term.



Step 5: Divide the term with the highest power inside the division symbol by the term with the highest power outside the division symbol. In this case, we have –6x2divided by x which is –6x.



Step 6: Multiply (or distribute) the answer obtained in the previous step by the polynomial in front of the division symbol. In this case, we need to multiply –6x and x + 2.



Step 7: Subtract and bring down the next term.



Step 8: Divide the term with the highest power inside the division symbol by the term with the highest power outside the division symbol. In this case, we have 14x divided by x which is +14.



Step 9: Multiply (or distribute) the answer obtained in the previous step by the polynomial in front of the division symbol. In this case, we need to multiply 14 and x + 2.



Step 10: Subtract and notice there are no more terms to bring down.



Step 11: Write the final answer. The term remaining after the last subtract step is the remainder and must be written as a fraction in the final answer.