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In the polynomial P(x) = 5x^4 - 2x^3 + x - 7, what is the constant term?

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Question: In the polynomial P(x) = 5x^4 - 2x^3 + x - 7, what is the constant term?

Options:

  1. 5
  2. -2
  3. 1
  4. -7

Correct Answer: -7

Solution: 

The constant term in the polynomial P(x) is -7.

In the polynomial P(x) = 5x^4 - 2x^3 + x - 7, what is the constant term?

Practice Questions

Q1
In the polynomial P(x) = 5x^4 - 2x^3 + x - 7, what is the constant term?
  1. 5
  2. -2
  3. 1
  4. -7

Questions & Step-by-Step Solutions

In the polynomial P(x) = 5x^4 - 2x^3 + x - 7, what is the constant term?
  • Step 1: Identify the polynomial given, which is P(x) = 5x^4 - 2x^3 + x - 7.
  • Step 2: Look for the term in the polynomial that does not have a variable (x) attached to it.
  • Step 3: In the polynomial, the term -7 does not have x, so it is the constant term.
  • Step 4: Conclude that the constant term in the polynomial P(x) is -7.
  • Polynomial Terms – Understanding the structure of a polynomial, including identifying constant, linear, quadratic, cubic, and higher-order terms.
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