Question

Which polynomials are in standard form?

Choose all answers that apply:

(Choice A)

5-2x

(Choice B)

x^4-8x^2-16

(Choice C)

5x^3+4x^4-3x+1

(Choice D)

None of the above

Answer 1

B x^4 - 8x^2 -16

Explanation:

khan academy answer

Answer 2

Choice D.

None of the above.

Explanation:

Standard form of polynomial is written as variable power in a decreasing order as shown below.

`ax^(n)+ bx^((n-1)) +cx^((n-2))+............+x^(0)`

Here the power of x is decreasing from n to 0

So,

5-2x can be written as

`-2x^(1) +5x^(0)`

x^4-8x^2-16 can be written as

`x^(4)+0x^(3)-8x^(2) +0x^(1)-16x^(0)`

5x^3+4x^4-3x+1 can be written as

`4x^(4) +5x^(3)+0x^(2)+3x^(1) + 1x^(0)`

Note:
`x^(0) =1`