Which polynomials are in standard form? Choose all answers that apply: A 5-2x B x^(4)-8x^(2)-16 C 5x^(3)+4x^(4)-3x+1 D None of the above

Step 1: Checking Option A: A polynomial is in standard form when its terms are ordered from highest to lowest degree. Let's check each option.Step 2: Checking Option B: Option A: 5 - 2x This polynomial is not in standard form because the terms should be ordered from highest degree to lowest degree. The correct standard form would be -2x + 5.Step 3: Checking Option C: Option B: x^4 - 8x^2 - 16 This polynomial is in standard form because the terms are ordered from highest degree (x^4) to lowest degree (-16).Step 4: Checking Option D: Option C: 5x^3 + 4x^4 - 3x + 1 This polynomial is not in standard form because the terms are not ordered from highest degree to lowest degree. The correct standard form would be 4x^4 + 5x^3 - 3x + 1.Option D: None of the above This option is incorrect because we have identified that Option B is in standard form.

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Which polynomials are in standard form?
Choose all answers that apply:
A
5-2x
B
x^(4)-8x^(2)-16
C
5x^(3)+4x^(4)-3x+1
D None of the above

Which polynomials are in standard form? $\newline$ Choose all answers that apply: $\newline$ A $5-2 x$ $\newline$ B $x^{4}-8 x^{2}-16$ $\newline$ C $5 x^{3}+4 x^{4}-3 x+1$ $\newline$ D None of the above

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Math Problems

Algebra 1

Multiply a polynomial by a monomial

Full solution

Q. Which polynomials are in standard form?

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Choose all answers that apply:

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5-2 x

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x^{4}-8 x^{2}-16

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5 x^{3}+4 x^{4}-3 x+1

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D None of the above

Step $1$ : Checking Option A: A polynomial is in standard form when its terms are ordered from highest to lowest degree. Let's check each option.
Step $2$ : Checking Option B: Option A: $5 - 2x$ $\newline$ This polynomial is not in standard form because the terms should be ordered from highest degree to lowest degree. The correct standard form would be $-2x + 5$ .
Step $3$ : Checking Option C: Option B: $x^4 - 8x^2 - 16$ $\newline$ This polynomial is in standard form because the terms are ordered from highest degree ( $x^4$ ) to lowest degree ( $-16$ ).
Step $4$ : Checking Option D: Option C: $5x^3 + 4x^4 - 3x + 1$ $\newline$ This polynomial is not in standard form because the terms are not ordered from highest degree to lowest degree. The correct standard form would be $4x^4 + 5x^3 - 3x + 1$ .
Step $4$ : Checking Option D: Option C: $5x^3 + 4x^4 - 3x + 1$ $\newline$ This polynomial is not in standard form because the terms are not ordered from highest degree to lowest degree. The correct standard form would be $4x^4 + 5x^3 - 3x + 1$ .Option D: None of the above $\newline$ This option is incorrect because we have identified that Option B is in standard form.