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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