Question

Students were asked to write 6x^5 + 8x-3x^3+7x^7 in standard form

Answer 1

The standard form is
`7x^7 +6x^5-3x^3 + 8x`

Explanation:

Given:

`6x^5 + 8x-3x^3+7x^7`

To Find :

standard form of
`6x^5 + 8x-3x^3+7x^7`

Solution:

A polynomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd etc.

In order to write any polynomial in standard form, you look at the degree of each term. You then write each term in order of degree, from highest to lowest, left to write.

Now lets check the degree of each term in the polynomial

The degree of 6x is 5

The degree of 8x is 1

The degree of 3x is 3

The degree of 7x is 7

Now rewrite the polynomial in the order of the degree, from highest to lowest

`7x^7 +6x^5-3x^3 + 8x`