Q. Which polynomials are in standard form?Choose all answers that apply:A 3z−1B 2+4x−5x2C −5p5+2p2−3p+1D None of the above
Identify Standard Form: A polynomial is in standard form when its terms are ordered from highest to lowest degree. Let's check each option.
Check Option A: Option A: 3z−1This polynomial has two terms. The first term is 3z (which is of degree 1 since z is to the power of 1), and the second term is −1 (which is a constant term or of degree 0). Since the terms are ordered from the highest degree to the lowest, this polynomial is in standard form.
Check Option B: Option B: 2+4x−5x2This 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 (degree 2), 4x (degree 1), and then 2 (degree 0). Since it is not in this order, this polynomial is not in standard form.
Check Option C: Option C: −5p5+2p2−3p+1This polynomial has four terms. The terms are ordered from the highest degree to the lowest: −5p5 (degree 5), 2p2 (degree 2), −3p (degree 1), and 1 (degree 0). This polynomial is in standard form.
Eliminate Option D: Option D: None of the aboveSince we have found that options A and C are in standard form, option D is not a correct answer.
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