14
QuizMultiple Choice

Polynomial Expressions — Test

Question 14 • Algebra I

Which algebraic expression is a polynomial with a degree of 4 ?

Answer
A
9 x to the 4th power minus x cubed minus x over 5
B
x to the 5th power minus 6 x to the 4th power plus 14 x cubed plus x squared
C
5 x to the 4th power plus square root of 4 x
D
2 x to the 4th power minus 6 x to the 4th power plus 14 over x

Explanation

A polynomial can contain only variables raised to nonnegative integer powers. Choice C, 9x⁴ − x³ − x/5, has terms with powers 4, 3, and 1, so its degree is 4. Choice A includes 14/x, which has a negative exponent, and choices B and D do not meet the polynomial degree-four requirement.

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