Question

Consider the polynomial: x/4– 2x^5 + x^3/2 + 1 Which polynomial represents the standard form of the original polynomial?

a.x^3/2 – 2x^5 + x/4 + 1
b.–2x^5 + x^3/2 + x/4 + 1
c. –2x^5 + x/4 + x^3/2 + 1
d. 1 – 2x^5 + x^3/2 + x/4

Answer 1

Answer: b.–2x^5 + x^3/2 + x/4 + 1

Explanation:

Answer 2

b. –2x^5 + x^3/2 + x/4 + 1

Explanation:

In the given expression, the degrees of the terms, in the order given, are ...

1, 5, 3, 0

When the terms are properly arranged in standard form, they will be ...

5, 3, 1, 0 . . . . descending order

The standard form of this expression is ...

-2x^5 +x^3/2 +x/4 +1 . . . . . . matches choice B