SOLUTION: Please help with: 4w^11-w^12 in standard form

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Question 1201314: Please help with: 4w^11-w^12 in standard form
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52834) About Me  (Show Source):
You can put this solution on YOUR website!
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Standard form of a polynomial is writing it in descending order of degrees.



Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Answer: -w^12 + 4w^11

Reasoning:
We list the term with the largest exponent first, then next largest, and so on.
We count down the exponents.

Rewrite 4w^11-w^12 as 4w^11 + (-w^12)
Then use the rule A+B = B+A to swap the terms being added.
We arrive at -w^12 + 4w^11
The leading term is -w^12
The leading coefficient is -1.
The degree of this polynomial is 12, aka the largest exponent.
We consider this a 12th degree binomial since we have 2 terms.

Another example of standard form is: 5x^4+7x^3+x^2
The exponents here count down: 4,3,2