Which polynomials are in standard form? Choose all answers that apply: A t^(4)-1 B -2t^(2)+3t+4 c) 4t-7 D None of the above

Check Order of Terms: A polynomial is in standard form when its terms are ordered from highest to lowest degree. Let's check each option.Option A: Option A: $ t^4 - 1 $ This polynomial is ordered from the highest degree term ($ t^4 $) to the lowest (the constant term, -1). Therefore, it is in standard form.Option B: Option B: $ -2t^2 + 3t + 4 $ This polynomial is also ordered from the highest degree term ($ -2t^2 $) to the lowest (the constant term, +4). Thus, it is in standard form.Option C: Option C: $ 4t - 7 $ This polynomial is ordered from the highest degree term ($ 4t $, which is $ t^1 $) to the lowest (the constant term, -7). It is in standard form as well.Option D: Option D: None of the above Since we have determined that options A, B, and C are all in standard form, option D is not correct.

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Math Problems

Algebra 1

Multiply a polynomial by a monomial

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Q. Which polynomials are in standard form?

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Choose all answers that apply:

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t^{4}-1

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-2 t^{2}+3 t+4

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4 t-7

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D None of the above

Check Order of Terms: A polynomial is in standard form when its terms are ordered from highest to lowest degree. Let's check each option.
Option A: Option A: $t^4 - 1$ $\newline$ This polynomial is ordered from the highest degree term ( $t^4$ ) to the lowest (the constant term, $-1$ ). Therefore, it is in standard form.
Option B: Option B: $-2t^2 + 3t + 4$ $\newline$ This polynomial is also ordered from the highest degree term ( $-2t^2$ ) to the lowest (the constant term, + $4$ ). Thus, it is in standard form.
Option C: Option C: $4t - 7$ $\newline$ This polynomial is ordered from the highest degree term ( $4t$ , which is $t^1$ ) to the lowest (the constant term, $-7$ ). It is in standard form as well.
Option D: Option D: None of the above $\newline$ Since we have determined that options A, B, and C are all in standard form, option D is not correct.