Question

Write the polynomial 4x^2 - 6x^6 + 2x^3 +12 - 5x^3 + 4x^4 in standard form

Answer 1

-6x^6 + 4x^4 - 3x^3 + 4x^2 + 12

Explanation:

-6x^6 + 4x^4 - 5x^3 + 2x^3 + 4x^2 + 12

-6x^6 + 4x^4 - 3x^3 + 4x^2 + 12

Answer 2

`- 6x^6+ 4x^4 -3x^3+4x^2 +12`

Explanation:

`4x^2 - 6x^6 + 2x^3 +12 - 5x^3 + 4x^4`

WE need to write the polynomial in standard form

Standard form of the polynomial is the polynomial that start with highest exponent. Standard form has decreasing order of exponent.

-6x^6 is the highest exponent

now we write the terms with exponent decreasing order

`4x^2 - 6x^6 + 2x^3 +12 - 5x^3 + 4x^4`

`4x^2 - 6x^6 + 2x^3 +12 - 5x^3 + 4x^4`

First we combine like terms

`4x^2 - 6x^6 -3x^3 +12 + 4x^4`

`- 6x^6+ 4x^4 -3x^3+4x^2 +12`

The above polynomial is in standard form