Questions: Find the degree of the polynomial function. f(x)=-3 x+4 x^2 A. 4 B. -3 C. 1 D. 2

Find the degree of the polynomial function. f(x)=-3 x+4 x^2 A. 4 B. -3 C. 1 D. 2
Transcript text: Find the degree of the polynomial function. \[ f(x)=-3 x+4 x^{2} \] A. 4 B. -3 C. 1 D. 2
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Solution

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Solution Steps

To find the degree of a polynomial function, we need to identify the highest power of the variable \( x \) in the polynomial. The degree is the exponent of this term.

In the given polynomial \( f(x) = -3x + 4x^2 \), the highest power of \( x \) is 2.

Solution Approach

The degree of the polynomial function is the highest exponent of \( x \) in the polynomial.

Step 1: Identify the Polynomial

The given polynomial function is

\[ f(x) = -3x + 4x^2 \]

Step 2: Determine the Degree

To find the degree of the polynomial, we look for the highest exponent of \( x \) in the expression. The terms in the polynomial are:

  • The first term is \( -3x \), which has an exponent of \( 1 \).
  • The second term is \( 4x^2 \), which has an exponent of \( 2 \).
Step 3: Compare Exponents

The highest exponent among the terms is \( 2 \). Therefore, the degree of the polynomial function \( f(x) \) is

\[ \text{Degree} = 2 \]

Final Answer

The answer is \(\boxed{2}\).

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