Vocabulary for Algebra I - Exponents and Polynomials
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Zero Exponent | Any nonzero number raised to the zero power is 1
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| Negative Exponent | A nonzero number raised to a negative exponent is equal to 1 divided by that number raised to the corresponding positive exponent.
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| Scientific Notation | a method of writing numbers that are very large or very small in two parts - a number between 1 & 10 that is multiplied by ten raised to a positive or negative power
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| An exponential expression is completely simplified if... | 1) there are no negative exponents
2) the same base does not appear more than once in a product or quotient
3) no powers, products or quotients are raised to powers
4) numerical coefficients in a quotient do not have any common factor other than 1
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| Product of Powers Property | The product of two powers with the same base equals that base raised to the sum of the powers
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| Power of a Power Property | A power raised to another power equals that base raised to the product of the exponents
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| Power of a Product Property | A product raised to a power equals the product of each factor raised to that power
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| Quotient of Powers Property | The quotient of two nonzero powers with the same base equals to base raised to the difference of the exponents
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| Positive Power of a Quotient Property | A quotient raised to a positive power equals the quotient of of each base raised to that power
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| Negative Power of a Quotient Property | A quotient raised to a negative power equals the reciprocal of the quotient raised to the opposite (positive) power
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| Root Index | the small number to the left of the radical symbol that tells you which root to take - 2 would be square root, 3 would be cube root, etc.
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| Factional Exponent 1/n | A number raised to the power of 1/n is equal to the "n"th root of that number
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| Factional Exponent m/n | A number raised to the power of m/n is equal to the "n"th root of the number raised to the "m"th power
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| Monomial | A number, a variable or a product of numbers and variables with whole-number exponents
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| Degree of a Monomial | The sum of the exponents of the variables in a monomial
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| Polynomial | A monomial or a sum or difference of monomials
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| Degree of a Polynomial | The degree of the of the term with the greatest degree
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| Standard Form of a Polynomial | Contains one variable and is written in with the terms in order from greatest degree to least degree
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| Leading Coefficient | When written in standard form, it is the coefficient of the first term
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| Linear Polynomial | Polynomial with the degree of 1
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| Quadratic Polynomial | Polynomial with the degree of 2
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| Cubic Polynomial | Polynomial with the degree of 3
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| Binomial | Polynomial with two terms
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| Trinomial | A polynomial with three terms
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| FOIL | A method for multiplying binomials:
F - multiply first terms
O - multiply outside terms
I - multiply inside terms
L - multiply last terms
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| Perfect Square Trinomial | A trinomial that results from squaring a binomial
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You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
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Created by:
gklee
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