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Degree of 5x³ − 2x² + 7 is:

A5
B2
C3
D7
Answer & Solution
Correct answer: C. 3
To find the degree of a polynomial, we look for the highest power (exponent) of the variable $x$ in any of its terms. 1. Identify the terms of the polynomial: $5x^3$, $-2x^2$, and $7$. 2. Determine the exponent of $x$ in each term: - In $5x^3$, the exponent is $3$. - In $-2x^2$, the exponent is $2$. - In $7$ (which is $7x^0$), the exponent is $0$. 3. Compare the exponents: $3$, $2$, and $0$. 4. The highest exponent is $3$. Therefore, the degree of $5x^3 - 2x^2 + 7$ is $3$.
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