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I have no idea how to do polynomials.
I have to find the degree of each polynomial.
5a - 2b^2+1
4a^3-2a
x+3x^4-21x^2+x^3
b+6
24xy - xy^3 + x^2
n^3+m^2+n^2m^2
3^2r^4
8x^2-2x^8
-2x^2y+3xy^3+x^3
10s^2t^2+4st^2-5s^3t^2
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The degree of a monomial is the sum of the exponents of its variables, and the degree of a polynomial is the highest degree of any of its monomials.
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Here are the asnwer's mate:
5a - 2b^2+1 = 2nd degree
4a^3-2a = 3rd
x+3x^4-21x^2+x^3 = 4
b+6 = 1st
24xy - xy^3 + x^2 = 4th (why? look at the exponent of xy^3, 1+3 =4)
n^3+m^2+n^2m^2 = 4 (its 2+2 in n^2m^2)
3^2r^4 = 4th (don't consider the exponent of the coefficient)
8x^2-2x^8 = 8th
-2x^2y+3xy^3+x^3= 4th (its in 3xy^3)
10s^2t^2+4st^2-5s^3t^2 = 5th (in 5s^3t^2)
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5a - 2b^2+1 2nd degree
4a^3-2a 3rd degree
x+3x^4-21x^2+x^3 4th degree
b+6 1st degree
24xy - xy^3 + x^2 here it depends if it is a function of x or y . if its of x then the degree is 2 , if its of y the degree is 3.
n^3+m^2+n^2m^2 .. the same if its a function of m then the degree is 2 , if its a function of n the degree is 2m^2 if it is greater than 3( m is a constant as well if we have a function of n as in f(n) )
3^2r^4 4th degree
8x^2-2x^8 8th degree
-2x^2y+3xy^3+x^3 if its a function of y then it is 3rd degree , if its x then its 3rd degree
10s^2t^2+4st^2-5s^3t^2 if its a function of t then the degree is 2nd , if its a function of s then the degree is 3t^2 (we take t as a constant too)
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Aside from taking the answers, you should try and learn how to solve them as well.