Question

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

Answer 1

A polynomial of degree n is an expression of the form:

$ax^{n}+bx^{n-1}+cx^{n-2}+...+dx^{2}+ex+f$

where a, b, c, ...d, e, f are Real numbers, and any of them can be = 0, except a.
and the degrees, n, n-1, .... are all non-negative integers: {0, 1, 2, 3 ...}


Among our choices, 

the first one,$5x^{4}+ \sqrt{4x}$, 

does not fit the polynomial definition, so the expression is not a polynomial.


the second one, is a fifth degree polynomial

the third one, $9x^{4}-x^{3}- \frac{1}{5}x$ is a fourth degree polynomial.

the fourth one, $2x^{4}-6x^{4}+ \frac{14}{x}= -4x^{4}+ \frac{14}{x}$ is not a polynomial

Answer: 9x4 – x3 – x/5

Answer 2

Answer:

C

Step-by-step explanation:

• 5x4 + StartRoot 4 x EndRoot

• x5 – 6x4 + 14x3 + x2

• 9x4 – x3 – StartFraction x Over 5 EndFraction

• 2x4 – 6x4 + StartFraction 14 Over x EndFraction