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FAQs on Polynomial Functions - Class 9

1. What are polynomial functions?
Ans. Polynomial functions are mathematical functions that consist of variables raised to whole number exponents and are formed by combining constants, variables, and exponents using addition, subtraction, and multiplication operations.
2. How do you determine the degree of a polynomial function?
Ans. The degree of a polynomial function is the highest power of the variable in the function. To determine the degree, you identify the term with the highest power of the variable and that power becomes the degree of the polynomial.
3. What is the leading coefficient in a polynomial function?
Ans. The leading coefficient in a polynomial function is the coefficient of the term with the highest power of the variable. It is the number in front of the variable with the highest exponent.
4. How do you identify the roots or zeros of a polynomial function?
Ans. The roots or zeros of a polynomial function are the values of the variable that make the function equal to zero. To identify the roots, you set the polynomial function equal to zero and solve for the variable.
5. How can polynomial functions be used in real-life applications?
Ans. Polynomial functions can be used in various real-life applications such as finance, physics, engineering, and computer science. They can model relationships between variables, predict trends, and solve practical problems involving quantities and their relationships. For example, polynomial functions can be used to model population growth, analyze financial investments, or determine the trajectory of a projectile.
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