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In the polynomial P(x) = 3x^4 - 2x^3 + x - 7, what is the constant term?

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Question: In the polynomial P(x) = 3x^4 - 2x^3 + x - 7, what is the constant term?

Options:

  1. 3
  2. -2
  3. 1
  4. -7

Correct Answer: -7

Solution: 

The constant term in the polynomial P(x) is the term that does not contain any variable, which is -7.

In the polynomial P(x) = 3x^4 - 2x^3 + x - 7, what is the constant term?

Practice Questions

Q1
In the polynomial P(x) = 3x^4 - 2x^3 + x - 7, what is the constant term?
  1. 3
  2. -2
  3. 1
  4. -7

Questions & Step-by-Step Solutions

In the polynomial P(x) = 3x^4 - 2x^3 + x - 7, what is the constant term?
  • Step 1: Look at the polynomial P(x) = 3x^4 - 2x^3 + x - 7.
  • Step 2: Identify the different terms in the polynomial. The terms are 3x^4, -2x^3, x, and -7.
  • Step 3: Find the term that does not have a variable (x) in it. This is the constant term.
  • Step 4: The term -7 does not have a variable, so it is the constant term.
  • Polynomial Terms – Understanding the structure of a polynomial, including identifying constant, linear, quadratic, cubic, and higher-order terms.
  • Constant Term Identification – Recognizing that the constant term is the term in a polynomial that does not involve the variable x.
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