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Questions and Answers
Which operations are involved in a polynomial?
Which operations are involved in a polynomial?
- Multiplication, division, subtraction, and square root
- Addition, subtraction, multiplication, and positive-integer powers of variables (correct)
- Division, exponentiation, factorial, and logarithm
- Exponentiation, addition, factorial, and logarithm
What is the term for the x in a polynomial?
What is the term for the x in a polynomial?
- Exponent
- Coefficient
- Variable or indeterminate (correct)
- Constant
Which word best describes the etymology of the term 'polynomial'?
Which word best describes the etymology of the term 'polynomial'?
- Sum of many terms (correct)
- Difference of many terms
- Product of many terms
- Quotient of many terms
What does the polynomial x^2 - 4x + 7 represent?
What does the polynomial x^2 - 4x + 7 represent?
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In which areas do polynomials appear?
In which areas do polynomials appear?
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Study Notes
Operations Involved in a Polynomial
- Polynomials involve operations such as addition, subtraction, multiplication, and non-negative integer exponentiation.
- Each term in a polynomial is typically a product of a coefficient and a variable raised to a power.
Term for 'x' in a Polynomial
- The variable 'x' in a polynomial is termed as the "indeterminate."
- It represents an unknown value that can take any number of inputs.
Etymology of 'Polynomial'
- The term 'polynomial' is derived from the Greek and Latin roots: "poly-" meaning many, and "-nomial" meaning terms or parts.
- It highlights that polynomials are expressions made up of multiple terms.
Representation of the Polynomial x^2 - 4x + 7
- The polynomial x^2 - 4x + 7 is a quadratic equation representing a parabolic curve.
- It defines a specific relationship between the variable 'x' and the resulting value of the polynomial.
Areas Where Polynomials Appear
- Polynomials are fundamental in various fields such as algebra, calculus, and applied mathematics.
- They are used in modeling real-world phenomena, including physics, engineering, economics, and statistics.
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