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What are the degree and leading coefficient of the polynomial?

f(x) = 2x² - 5x + 3

a) Degree: 3, Leading Coefficient: 2
b) Degree: 2, Leading Coefficient: -5
c) Degree: 2, Leading Coefficient: 2
d) Degree: 3, Leading Coefficient: -5

User Tibor Nagy
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1 Answer

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Final answer:

The degree of the polynomial f(x) = 2x² - 5x + 3 is 2, and the leading coefficient is 2, making the correct answer (c) Degree: 2, Leading Coefficient: 2.

Step-by-step explanation:

The student's question pertains to identifying the degree and the leading coefficient of the polynomial f(x) = 2x² - 5x + 3. The degree of a polynomial is the highest power of the variable x in the polynomial, while the leading coefficient is the coefficient of the term with the highest power. In this case, the highest power of x is 2, which makes the degree of the polynomial 2. The coefficient of the term is 2, which makes 2 the leading coefficient. Therefore, the correct answer is (c) Degree: 2, Leading Coefficient: 2.

User Paul Sanchez
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