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# How do you write a polynomial in standard form?

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Writing a polynomial in standard form means putting the term with the highest exponent first. The other terms with lower exponents are written in descending order.

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An example of a polynomial in standard form is x^8 + 2 x^6 + 4 x^3 + 2x^2 + 3x - 2. In this example, there are terms with exponents and a constant. In the given polynomial, "x" is a variable, and the term "x^8" has the highest exponent, which is 8. This is also called the degree of the polynomial. The next term that follows is "2x ^6," which has the lower exponent of 6. The other terms in this polynomial are in descending order when looking at the exponents.

When writing a polynomial in standard form, it is important to look at each term to identify the exponents from highest to lowest correctly. The constant term, a number by itself, goes last in the standard form of polynomials.

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## Related Questions

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The motion of an object that’s thrown 3m up at a velocity of 14 m/s can be described using the polynomial -5tsquared + 14t + 3 = 0. Factorizing the quadratic equation gives the time it takes for the object to hit the ground. Polynomials apply in fields such as engineering, construction and pharmaceuticals.

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A monomial, where “mono” means “one,” is a one-term polynomial. A binomial, with “bi” meaning “two,” is a polynomial with two terms. A polynomial with three terms is called a trinomial, as “tri” means “three.”

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Any polynomial math problem could requires multiplying variables with exponents. The most common math subject that requires multiplying polynomials with exponents is factorization. It is important to identify what the question is really asking before assuming it is a polynomial question. Polynomials are any math equation with more than one variable, even if the variables are represented by the same letter.