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Polynomials are written with the exponents of the terms in order?
descending
Polynomials are written with the exponents of the terms in what type of order?
descending form
When can we say that a polynomial function is in standard form?
Each power should appear only once (for example, only one term which contains x cubed); the powers should be in descending order.
Which of the following terms is the Chinese term for the unifying principle in all nature?
qi
How could you represent the following in algebraic terms 7 squared plus t?
49+t
Polynomials are written with the exponents of the terms in order?
descending
How do you write each factor as a polynomial in descending order?
To write each factor as a polynomial in descending order, first identify the terms of the polynomial and arrange them based on the degree of each term, starting with the highest degree. For example, if you have factors like (x^2 + 3x - 5) and (2x - 1), you would express each factor individually, ensuring that the term with the highest exponent comes first. Finally, combine all terms, maintaining the descending order for clarity and consistency.
Putting mathematical terms in descending order?
evaluating polynomials
Polynomials are written with the exponents of the terms in what type of order?
descending form
To write a polynomial in standard form write the exponents of the in descending order?
Terms
Do you have to arrange in order the terms in algebraic expressions before adding?
Yes
What is a polynomial whose terms are placed in descending order largest degree to smallest degree?
They are placed largest to smallest.
How can we say that a polynomials is written in descending and ascending order?
A polynomial is written in descending order when its terms are arranged from the highest degree to the lowest degree. For example, (4x^3 + 2x^2 - x + 5) is in descending order. Conversely, a polynomial is in ascending order when its terms are organized from the lowest degree to the highest degree, such as (5 - x + 2x^2 + 4x^3). In both cases, the coefficients of each term remain associated with their respective powers of the variable.
When can we say that a polynomial function is in standard form?
Each power should appear only once (for example, only one term which contains x cubed); the powers should be in descending order.
What is the descending order of 125x3 343y3?
To express the terms 125x³ and 343y³ in descending order, we first recognize that 125 is (5^3) and 343 is (7^3). Therefore, we can rewrite the expression as ( (5x)^3 ) and ( (7y)^3 ). Since both terms are cubic, the order will depend on the values of (5x) and (7y). If (5x) is greater than (7y), then (125x³) comes first; otherwise, (343y³) comes first.
Descending geometric sequence?
A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.
How do you find the leading term of a polynomial?
If the polynomial is in terms of the variable x, then look for the term with the biggest power (the suffix after the x) of x. That term is the leading term. So the leading term of x2 + 5 + 4x + 3x6 + 2x3 is 3x6 If you are likely to do any further work with the polynomial, it would be a good idea to arrange it in order of the descending powers of x anyway.
