Rewrite -2u^3v^4+u+8u^2v^2-8u^4v^2 in standard form

Answer 1

-2u³v⁴ - 8u⁴v² + 8u²v² + u

First term has degree 7 (3+4) , second term has degree 6 (4+2), etc.

Answer 2

Question: Rewrite equation -2u^3 (V^4) + u + 8u^2 (2v^2) - 8u^4 (v^2) in standard form

Hint: The standard form of a polynomial is the form in which the terms are written in descending order of their degree.

Find the degree of each term:

-2u^3v^4 = degree = 7 (add the exponent degree level) ^3 + ^4 = 7

u = degree = 1 (u^0) = 1 exponent to zero level = 1

8u^2v^2 =degree = 4 (add the exponent degree level) ^2+ ^2 = 4

-8u^4v^2 = degree = 6 (add the exponent degree level) ^4+ ^2 = 6

Standard form = -2u^3v^4 - 8u^4v^2 + 8u^2v^2 + u

I hope the mathematical calculations (step by step approach) was helpful. Please let me know if you require any more assistance. If anyone in my neighborhood is interested in setting up an in-person math tutoring session. I look forward to hearing from them. Have an amazing day. Doris H.