[tex]1)~a^2+3a^4-7a+2a^3-4=3a^4+2a^3+a^2-7a-4\\\\
2)~8y^3-3xy^2-x^2y+2x^3\to\text{It is already in the standard form.}\\\\
3)~3x+12\to binomial, 1^{st}~degree\\\\
4)~24\to monomial,0~degree\\\\
5)~-7x^2+4x+1\to trinomial, 2^{nd}~degree\\\\
6)~3x^4-x^3+5x^2+x-7\to polynomial,4^{th}~degree\\\\
7)~(2x^2+3x+2)-(x^2-4x-1)=x^2+7x+3\\\\
8)~2a(5a^2-7b^3)=10a^3-14ab^3\\\\
9)~5c^2d(9c^2d^2-4c^3d-2)=45c^4d^3-20c^5d^2-10c^2d\\\\
10)~-4y(5y-11)-2y(3y+10)=-20y^2+44y-6y^2-20y=\\\\=-26y^2+24y[/tex]
