A) When is a polynomial cubic? b) Give an example of a cubic...

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Key Concepts

Polynomial

A polynomial is a mathematical expression constructed from variables and coefficients, using operations such as addition, subtraction, multiplication, and non-negative integer exponents. It represents a sum of terms where each term is a constant multiplied by a variable raised to a particular power.

Degree of a Polynomial

The degree of a polynomial is defined as the highest power of the variable in its expression, provided that the coefficient of that term is non-zero. This degree gives us crucial information about the behavior and properties of the polynomial, such as its growth rate and the number of possible roots.

Cubic Polynomial

A cubic polynomial is a polynomial of degree three, meaning that the highest power of the variable present in the expression is three and the coefficient of that term is non-zero. Such polynomials typically have the form ax³ + bx² + cx + d, where a is not equal to zero, ensuring the term with the power three is indeed dominating.

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