Question

Consider the polynomial: StartFraction x Over 4 EndFraction – 2x5 + StartFraction x cubed Over 2 EndFraction + 1 Which polynomial represents the standard form of the original polynomial? StartFraction x cubed Over 2 EndFraction – 2x5 + StartFraction x Over 4 EndFraction + 1 –2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1 –2x5 + StartFraction x Over 4 EndFraction + StartFraction x cubed Over 2 EndFraction + 1 1 – 2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction

Answer 1

Answer:

(B)$-2x^5+\dfrac{x^3}{2}+\dfrac{x}{4}+1$

–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1

Step-by-step explanation:

Given the polynomial: $\dfrac{x}{4}-2x^5+\dfrac{x^3}{2}+1$

We are required to pick an equivalent polynomial which is in standard form.

A polynomial is in standard form when it is written in descending powers of x.

Therefore, rearranging the polynomial above, we have:

$-2x^5+\dfrac{x^3}{2}+\dfrac{x}{4}+1$

The correct option is B.