Write each polynomial in standard form. Name the polynomial based on its number of terms and it degree.
- 8x2 + 12x3 - 25

It would be 12x³-8x²-25, Trinomial, Degree of 3

Step-by-step explanation:

Firstly,

you count the terms in the polynomial.

-8x² + 12x³ - 25

There are 3 terms, because even though there are two numbers with x values in them, they are to different powers. Then there is a term, that has no x value. When you add the term count up, there are 3 terms.

Next step,

Look at the various terms, what is the largest exponent that you see? That would be to the 3rd power, so write 3 as the degree.

Please Note:

If a term has no variable and no exponent. eg. -8, then it would have a degree of 0. If a term has a variable but no exponent eg. 4y, then it would have a degree of 1.                                        

Last step,

To order a polynomial in standard form, order the terms from the highest to lowest degree.

-8x² + 12x³ - 25 > 12x³-8x²-25

Just some useful example stuff,

Also note that if a term for example looked something like this:

5xy³

The degree would be 4, as you would combine the powers in each term. So the 5 has no power, so it's at 0, The x is to the 1st power, so its at 1. Then the y³ is to the 3rd power, so it's at 3.

Then you add those numbers together:

0 + 1 + 3 = 4 > Degree of 4.

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step-by-step explanation:

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step-by-step explanation: