Question

How do I convert a polynomial into standard form?

Answer 1

One way to write a polynomial is in standard form. 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 right.

Explanation:

Answer 2

1) Write the term with the highest exponent first

2) Write the terms with lower exponents in descending order

3) Remember that a variable with no exponent has an understood exponent of 1

4) A constant term (a number with no variable) always goes last.

Explanation:

Here is an example:

1) 6y3+4y5-2y2-6y+8y4+7

The highest exponent is the 5, so that entire term must be written first:4y5

The next highest exponent is the 4 so that term comes next. So far we have 4y5+8y4

The next highest exponent is the 3 so add that term to get

4y5 +8y4+6y3

Then comes 2. Notice that this term is negative, so don't forget to include the negative sign:

4y5 +8y4 +6y3-2y2

Remember that term has an understood exponent of 1 so it comes next. 4y5+8y4+6y3-2y2 -6y

The constant term (a number with no variable) always comes last so the final answer is:

4y5+8y4+6y3-2y2-6y+7

Hope this Helps! Tell me if I'm wrong