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Which polynomials are in standard form?
Choose all answers that apply:
A 
3z-1
B 
2+4x-5x^(2)
C 
-5p^(5)+2p^(2)-3p+1
D None of the above

Which polynomials are in standard form?\newlineChoose all answers that apply:\newlineA 3z1 3 z-1 \newlineB 2+4x5x2 2+4 x-5 x^{2} \newlineC 5p5+2p23p+1 -5 p^{5}+2 p^{2}-3 p+1 \newlineD None of the above

Full solution

Q. Which polynomials are in standard form?\newlineChoose all answers that apply:\newlineA 3z1 3 z-1 \newlineB 2+4x5x2 2+4 x-5 x^{2} \newlineC 5p5+2p23p+1 -5 p^{5}+2 p^{2}-3 p+1 \newlineD None of the above
  1. Identify Standard Form: A polynomial is in standard form when its terms are ordered from highest to lowest degree. Let's check each option.
  2. Check Option A: Option A: 3z13z - 1\newlineThis polynomial has two terms. The first term is 3z3z (which is of degree 11 since zz is to the power of 11), and the second term is 1-1 (which is a constant term or of degree 00). Since the terms are ordered from the highest degree to the lowest, this polynomial is in standard form.
  3. Check Option B: Option B: 2+4x5x22 + 4x - 5x^2\newlineThis polynomial has three terms. The terms are not ordered correctly; they should be arranged from the highest degree to the lowest. The correct order should be 5x2-5x^2 (degree 22), 4x4x (degree 11), and then 22 (degree 00). Since it is not in this order, this polynomial is not in standard form.
  4. Check Option C: Option C: 5p5+2p23p+1-5p^5 + 2p^2 - 3p + 1\newlineThis polynomial has four terms. The terms are ordered from the highest degree to the lowest: 5p5-5p^5 (degree 55), 2p22p^2 (degree 22), 3p-3p (degree 11), and 11 (degree 00). This polynomial is in standard form.
  5. Eliminate Option D: Option D: None of the above\newlineSince we have found that options A and C are in standard form, option D is not a correct answer.

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