1 thought on “Use the long division method to find the quotient and remainder when 3×3+ 4×2 + 6x + <br /><br />9 is divided by x2 + 2x + 3. <br”
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 1
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 2
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 3
Step 4: Subtract and bring down the next term.
Step 4
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 –6×2 divided by x which is –6x.
Step 5
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 6
Step 7: Subtract and bring down the next term.
Step 7
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.
8
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 9
Step 10: Subtract and notice there are no more terms to bring down.
Step 10
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.
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 1
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 2
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 3
Step 4: Subtract and bring down the next term.
Step 4
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 –6×2 divided by x which is –6x.
Step 5
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 6
Step 7: Subtract and bring down the next term.
Step 7
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.
8
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 9
Step 10: Subtract and notice there are no more terms to bring down.
Step 10
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.
Step 11