Question

Explain how to perform long division of polynomials.
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Answer 1

Answer:

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please mark my answer brainlist

please mark my answer brainlist

Step-by-step explanation:

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, we should get:

Step 1

Steps 2, 3, and 4: Divide the term with the highest power inside the division symbol by the term with the highest power outside the division symbol. Next multiply (or distribute) the answer obtained in the previous step by the polynomial in front of the division symbol. In this case, we should get 2x3/2x = x2 and x2(2x + 3). Finally, subtract and bring down the next term.

Step 2

Steps 5, 6, and 7: Divide the term with the highest power inside the division symbol by the term with the highest power outside the division symbol. Next multiply (or distribute) the answer obtained in the previous step by the polynomial in front of the division symbol. In this case, we should get 4x2/2x = 2x and 2x(2x + 3). Finally, subtract and bring down the next term.

Step 3

Steps 8, 9, and 10: Divide the term with the highest power inside the division symbol by the term with the highest power outside the division symbol. Next multiply (or distribute) the answer obtained in the previous step by the polynomial in front of the division symbol. In this case, we should get –4x/2x = –2 and –2(2x + 3). Finally, subtract and notice there are no more terms to bring down.

Step 4

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.