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When is an algebraic expression considered as a non-polynomial expression?
An expression is non polynomial if it has : negative exponent fractional exponent variable exponent in the radicand
What is 0 exponent?
It's always unity ( 1 ).
When 605000 is written in scientific notation what will be the value of the exponent?
5
When dividing numbers in scientific notation what do you do with the exponents?
You subtract the exponent of the divisor from that of the dividend.
When writing twenty-one-and-a-half trillion in scientific notation what is the exponent needed on the base 10?
It is: 2.15*10^13 = 21,500,000,000,000
What is a binomial that represents the length of a a rectangular painting with a width of x centimeters has an area of x exponent 2 50x square centimeters?
250x+x
How do you use an exponent to represent a number such as 16?
How do you use an exponent to represent a number such as 16
Explain cubic binomial quadratic trinomial and linear binomial?
Binomials are algebraic equations with two different terms. Trinomials are algebraic equations with three different terms. For example, w^2 + 7w + 7 would be a trinomial because there are three terms in it and you can't simplify it any further. w + 7w would not be a binomial because you could still simplify it to be 8w, which is a monomial. w + 7 would be a binomial because there are two terms in it and you can't simplify it any further. Monomials have one term, binomials have two, trinomials three, and four terms and on are called polynomials. A linear binomial would be a binomial in which the highest exponent, or power, is one. For example, x + 2. A quadratic trinomial is a trinomial in which the highest exponent or power is two, or the second power. For example, w^2 + 7w + 8. A cubic binomial is a binomial in which the highest exponent or power is 3. For example, 7w^3 + x^2. Since three is larger than two, it is the highest power and the equation is a cubic binomial. Equations to the fourth power and on are simply called fourth degree, fifth degree, and so forth. For example, fourth degree binomial, sixth degree trinomial, and fifth degree monomial. To sum it up, Monomial = one term Binomial = two terms Trinomial = three terms Polynomial = +4 terms Linear = 1 is the highest power/exponent Quadratic = 2 is the highest power/exponent Cubic = 3 is the highest power/exponent Fourth degree, fifth degree, sixth degree, etc. = the highest power/exponent is four or larger.
The expansion of a binomial that involves a coefficient found by combinations. The expansion will contain the same number of terms as the exponent of the original binomial. For each term the exponents?
Not true. The expansion will have one more term.
What is a binomial of degree 2?
A binomial of degree 2 is a polynomial expression that consists of two terms and has a total degree of 2. An example of such a binomial is ( ax^2 + bx ), where ( a ) and ( b ) are constants, and the highest exponent of the variable ( x ) is 2. This type of binomial can be factored or used in various mathematical applications, including quadratic equations.
Numbers written using exponents that represent repeated multiplication?
powers, or exponent
Why do you have negative exponents?
Negative exponents are used to represent 1 divided by an a base to a specific exponent.
What exponent should you use to represent the power of 10?
To represent a power of 10, you use an exponent that indicates how many times 10 is multiplied by itself. For example, (10^3) represents (10 \times 10 \times 10), which equals 1,000. The exponent can be any integer, positive or negative; for instance, (10^{-2}) represents (1/100) or 0.01.
What is the smallest raised number in a power that tells how many times the base is used as a factor?
The exponent.
What is the etymology of the term "exponent" and how has its meaning evolved over time?
The term "exponent" comes from the Latin word "exponere," meaning to explain or set forth. Originally used in mathematics to represent the power to which a number is raised, the meaning of "exponent" has evolved to also refer to a person who advocates or promotes a particular idea or cause.
What is the exponent if an exponent is not given?
if there is no exponent shown, then the exponent is 1. ex: 41
How do you represent the prime factorization 2 exponent 2 11 exponent 213?
2 x 2 x 11 x 11 x 13 = 6292 2^2 x 11^2 x 13 = 6292
