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Q: A: ### Quick Answer

**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.

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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- Q:
## What are some real-life examples of polynomials?

A:

Full Answer >**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.Filed Under: - Q:
## What are the meanings of "monomial," "binomial" and "trinomial"?

A: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.”

Full Answer >Filed Under: - Q:
## What types of math problems require multiplying variables with exponents?

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Full Answer >**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.Filed Under: - Q:
## How do you factor polynomials with four terms?

A:A four-term polynomial is most often factored by grouping, a process where terms that have common factors are grouped and factored separately. In some cases, separate factoring of the two groups may reveal another factor common to both groups.

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