Final answer:
The polynomial 2x + 10 - 4x³ is a cubic polynomial, not quadratic, due to its highest degree term, which is 4x³.
Step-by-step explanation:
The polynomial 2x + 10 – 4x³ is not a quadratic polynomial. This is because the highest degree of the variable (which is x in this case) is 3, not 2. The term 4x³ makes it a third-degree polynomial, also known as a cubic polynomial.
A quadratic polynomial has the form ax² + bx + c, where a, b, and c are constants, and 'a' is not equal to zero. Quadratic equations can be solved using the quadratic formula, which is not applicable in this case.
The expression 2x + 10 – 4x³ represents a polynomial called a cubic polynomial. A polynomial is an algebraic expression with one or more terms, where each term is a product of a constant and a variable raised to a non-negative integer power. A cubic polynomial is a polynomial of degree 3, which means the highest power of the variable is 3.
In this case, the polynomial is in standard form with descending powers of x. The coefficient of the highest power of x is -4, which is non-zero, indicating it is a cubic polynomial.
To determine the specific type of cubic polynomial, you would need more information or context.