Answer:
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.
