In the expression: 4x squared - 2x + 1

How many terms are there? _____
What is the leading coefficient of the first term? _____
A. 0
B. 1
C. 2
D. 3
E. 4

3 answers

In the expression \( 4x^2 - 2x + 1 \):

  1. The number of terms is 3: \( 4x^2 \), \( -2x \), and \( 1 \).
  2. The leading coefficient of the first term (\( 4x^2 \)) is 4.

So, the answers are:

  • How many terms are there? 3
  • What is the leading coefficient of the first term? 4

Since the options given for the leading coefficient do not include 4, if you were supposed to select from the listed options A through E, the question could be about something else related to the polynomial. Please clarify if you need additional information!

are you sure this is correct

Let’s go through it step-by-step:

  1. Expression: The expression given is \( 4x^2 - 2x + 1 \).

  2. Number of Terms:

    • The terms in the expression are:
      • \( 4x^2 \) (first term)
      • \( -2x \) (second term)
      • \( 1 \) (third term)
    • So, there are 3 terms in total.
  3. Leading Coefficient:

    • The leading term is the term with the highest power of \( x \), which is \( 4x^2 \).
    • The coefficient of this term is 4.

Since you are asking about the leading coefficient and related options (A through E), the numbers provided (0, 1, 2, 3, 4) only include 4 for the leading coefficient.

Thus, the confirmation is:

  • Number of terms: 3
  • Leading coefficient: 4 (which matches option E, if it was intended to be included).

Please let me know if you have further questions or if there's anything else I can clarify!

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