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In polynomial long division, what is the first step when dividing 4x^3 + 2x^2 -

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Question: In polynomial long division, what is the first step when dividing 4x^3 + 2x^2 - x by 2x?

Options:

  1. Divide the leading term of the dividend by the leading term of the divisor.
  2. Multiply the divisor by the leading term of the dividend.
  3. Subtract the product from the dividend.
  4. Write down the remainder.

Correct Answer: Divide the leading term of the dividend by the leading term of the divisor.

Solution:

The first step in polynomial long division is to divide the leading term of the dividend by the leading term of the divisor.

In polynomial long division, what is the first step when dividing 4x^3 + 2x^2 -

Practice Questions

Q1
In polynomial long division, what is the first step when dividing 4x^3 + 2x^2 - x by 2x?
  1. Divide the leading term of the dividend by the leading term of the divisor.
  2. Multiply the divisor by the leading term of the dividend.
  3. Subtract the product from the dividend.
  4. Write down the remainder.

Questions & Step-by-Step Solutions

In polynomial long division, what is the first step when dividing 4x^3 + 2x^2 - x by 2x?
  • Step 1: Identify the leading term of the dividend, which is 4x^3.
  • Step 2: Identify the leading term of the divisor, which is 2x.
  • Step 3: Divide the leading term of the dividend (4x^3) by the leading term of the divisor (2x).
  • Polynomial Long Division – The process of dividing a polynomial by another polynomial, similar to numerical long division.
  • Leading Term – The term in a polynomial with the highest degree, which is used to initiate the division process.
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