Question

What is the name of the polynomial 10x⁵+4x²-2x?

1) Quintic polynomial
2) Quadratic polynomial
3) Linear polynomial
4) Cubic polynomial

Answer 1

The polynomial 10x⁵+4x²-2x is named a quintic polynomial because its highest degree term is x⁵.

Step-by-step explanation:

The polynomial in question is 10x⁵+4x²-2x. The name of a polynomial is determined by its highest degree term. In this case, the highest degree term is x⁵ (x raised to the power of five), which makes it a quintic polynomial. This means the correct answer is option 1) Quintic polynomial. Quadratic polynomials are second-order polynomials (x²), but this polynomial has the highest order of 5, therefore, it's not quadratic, linear (x), or cubic (x³).