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

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

Options:

  1. Divide the leading term of the dividend by the leading term of the divisor.
  2. Multiply the entire divisor by the first term of the quotient.
  3. Subtract the product from the dividend.
  4. Bring down the next term from the dividend.

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 2x^3 + 3x^2 -

Practice Questions

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

Questions & Step-by-Step Solutions

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