Question

Which statement best describes the polynomial? 13y^8-4y^7+3y

A. It is in standard form because the coefficients are in order from highest to lowest.
B. It is in standard form because the exponents are in order from highest to lowest.
C. It is in standard form because there is no constant.
D. It is in standard form because the coefficients cannot be further simplified.

Answer 1

Definitely B. Note how the powers of y are presented in descending order by power: y^8, y^7, y^1.

Answer 2

It is in standard form because the exponents are in order from highest to lowest.

Explanation:

`13y^8-4y^7+3y`

When the polynomial is in standard form then the exponents of variables should be in the order from highest to lowest

For example,
`x^2 +3x^1+5` is in standard form. Because exponent starts at x^2 and then its decreasing to x^1

`13y^8-4y^7+3y`

Here the exponent starts at y^8 and then y^7 and then y

So the given polynomial is in standard form.

It is in standard form because the exponents are in order from highest to lowest.