Question

Which polynomial is in standard form

a.2x-8x^4+16x^5
b.-16x^2-9x+12,
c.15x-6x^2+3,
d. -7x+9x^9-11x

Answer 1

B. -16x^2-9x+12. Standard form for polynomials have to have the term with the largest exponent first.

Answer 2

`-16x^2-9x+12`

Explanation:

To get the polynomial in standard form we look at the degree of each term

In standard form we write the degree of each term from highest to lowest

a.
`2x-8x^4+16x^5`

Here the degree is from lowest to highest. So it is not in standard form.

b.
`-16x^2-9x+12`

Here, degree is x^2 and then x. degree is from highest to lowest

So, it is in standard form

c.
`15x -6x^2+3`

The degree is not in order , so it is not in standard form

d.
`-7x^7+9x^9-11x`

The degree is not in order , so it is not in standard form