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Pick the expression that matches this description:A polynomial of the degree with a leading coefficient of and a constant term of Choose answer:(A) (B) (C) (D)
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Q. Pick the expression that matches this description:A polynomial of the degree with a leading coefficient of and a constant term of Choose answer:(A) (B) (C) (D)
- Analyze options for degree polynomial: Analyze the given options to identify the polynomial of the degree.A polynomial of the degree must have its highest exponent as . This means we are looking for a term with raised to the power of .
- Check if options meet criteria: Check each option to see if it meets the criteria of being a th-degree polynomial.(A) - This is a th-degree polynomial.(B) - This is also a th-degree polynomial.(C) - This is not a th-degree polynomial; it is a th-degree polynomial.(D) - This is not a th-degree polynomial; it is a th-degree polynomial.
- Identify th degree polynomial with leading coefficient of : Among the th-degree polynomials, identify the one with a leading coefficient of .The leading coefficient is the coefficient of the term with the highest exponent.(A) - The leading coefficient is .(B) - The leading coefficient is , not .
- Check constant term of remaining option: Check the constant term of the remaining option.The constant term is the term without a variable.(A) - The constant term is .
- Confirm option (A) meets all criteria: Confirm that option (A) meets all the criteria.(A) is a th-degree polynomial with a leading coefficient of and a constant term of .
