Adding and subtracting polynomials

AI Thread Summary
To solve the polynomial problems, each polynomial must be written in standard form, which involves arranging terms by descending degree. The degree of each polynomial should also be identified, along with the number of terms it contains, such as monomial or binomial. There was a noted typo in one problem, indicating it should be written as x^2 + x^4 - 6 instead of x^2 = x^4 - 6. It's essential to understand the definitions of standard form and degree, as these are fundamental to completing the assignment correctly. Reviewing textbook definitions and examples is recommended for clarity on these concepts.
Sonny18n
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Homework Statement


Write each polynomial in standard form. Then name each polynomial based on its degree and number of terms.[/B]
1.4y^3 -4y^2+3-y
2.x^2=x^4-6
3.x+2

Homework Equations

The Attempt at a Solution


4y+3-y
Don't know where else to go from here. Would appreciate a nudge in the right direction.
 
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Your problem statement doesn't actually say a problem.
 
Edited.
 
Sonny18n said:

Homework Statement


Write each polynomial in standard form. Then name each polynomial based on its degree and number of terms.[/B]
1.4y^3 -4y^2+3-y
2.x^2=x^4-6
3.x+2

Homework Equations

The Attempt at a Solution


4y+3-y
Is this your work for #1?
First, ##4y^3 - 4y^2 \ne 4y##. These two terms are not like terms (your textbook should have a definition), and so can't be combined.

Second, you have not done what needs to be done here. For each of the problems, 1) write it in standard form (there should be a definition of what this means in your book), and 2) state the degree of the polynomial (e.g., first degree, second degree, and so on) and the number of terms (e.g., monomial, binomial, and so on).

Also, I believe you have a typo in problem 2. It should probably be ##x^2 + x^4 - 6##. What you wrote is a polynomial equation, not a polynomial.
Sonny18n said:
Don't know where else to go from here. Would appreciate a nudge in the right direction.
Read (or reread) the section in your book that has these problems. Look for the definitions of all of the terms I wrote in italics.
 
Currently have nothing but a worksheet.
Let me try that again.
(4y^3 - 4y^2) + (3-y)
 
Sonny18n said:
Currently have nothing but a worksheet.
You don't have a textbook? Did your teacher provide definitions for the terms I listed in my previous post?
Sonny18n said:
Let me try that again.
(4y^3 - 4y^2) + (3-y)

All you have done here is write parentheses around two pairs of terms, which isn't what the problem is asking for.

For each of the problems, 1) write it in standard form (there should be a definition of what this means in your book), and 2) state the degree of the polynomial (e.g., first degree, second degree, and so on) and the number of terms (e.g., monomial, binomial, and so on).
 
Do you know what "standard form" means? Do you know what "degree" means? If you were given these problems surely you are expected to know that.
 
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