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Create a Third-degree polynomial in standard form. How do you know it is in standard form?

a. (3x³ + 6x² + 5x - 9)
b. (6x² + 5x - 9 + 3x³)
c. (3x² + 6x³ + 5x - 9)
d. (3x³ + 6x² - 9 + 5x)

User Wxtry
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1 Answer

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Final answer:

A third-degree polynomial is written in standard form by arranging the terms in descending order of exponents: x³, x², x, constant term.

Step-by-step explanation:

A third-degree polynomial is a polynomial of degree 3, meaning the highest power of x is 3. To write a polynomial in standard form, the terms should be arranged in descending order of exponents, starting with the term with the highest degree.

Among the given options, the polynomial (a) (3x³ + 6x² + 5x - 9) is in standard form because the terms are arranged in descending order of exponents: x³, x², x, constant term.

User Svetoslav Marinov
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