Which of the following expressions is a polynomial?
A) $4 x ^ { - 2 } + 4 x ^ { 5 } - 8$
B) $\frac { 5 } { 4 } x ^ { 2 } + 4 x - 2$
C) $8 x ^ { \frac { 1 } { 2 } } - 4 x ^ { 2 }$
D) $\frac { 4 } { x ^ { 2 } } - 2 x$

Question

Quizplus · Accepted Answer

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Option B, $\frac { 5 } { 4 } x ^ { 2 } + 4 x - 2$, fits this definition as it has terms with non-negative integer exponents and involves allowed operations. Options A, C, and D involve either negative exponents or fractional exponents, which do not fit the definition of a polynomial.

Which of the Following Expressions Is a Polynomial? A) 4x−2+4x5−84 x ^ { - 2 } + 4 x ^ { 5 } - 84x−2+4x5−8

Which of the Following Expressions Is a Polynomial?
A) $4 x ^ { - 2 } + 4 x ^ { 5 } - 8$