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| The expression being raised to a power is called |
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| "Another word for ""power"" is" |
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| 2 to the 5th power equals |
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| (-2) to the 4th power equals |
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| What do you do if you are combining 2 exponential expressions with the same base? |
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| Combine the coefficients and copy the base (combine like terms) |
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| Why can't you combine two exponential expressions with different bases? |
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| "If the bases are different, they cannot be combined because they are not like terms!" |
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| "If you are multiplying 2 exponential expressions with the same base, what do you do with the coefficients?" |
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| "If you are multiplying 2 exponential expressions with the same base, you multiply the coefficients." |
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| "If you have a fraction involving exponents, which of Richards' Rules makes it easy?" |
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Definition
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| "If you are multiplying 2 exponential expressions with the same base, what do you do with the base?" |
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| "If you are multiplying 2 exponential expressions with the same base, copy the base and add the exponents." |
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| "If you are multiplying 2 exponential expressions with the same base, what do you do with the exponents?" |
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Definition
| "If you are multiplying 2 exponential expressions with the same base, copy the base and add the exponents." |
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| "If you are dividing 2 exponential expressions, what do you do with the coefficients?" |
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Definition
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| "What is another word for the ""multiplicative inverse""?" |
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| Raising an expression to -1 yields |
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| "As soon as you see a negative exponent, think" |
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| The identity element for multiplication is |
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| Any number to the zero power equals |
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Definition
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| "What does the ""quotient to a power rule"" tell us?" |
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Definition
| "If a fraction is raised to a power, both the top and bottom of the fraction are raised to the power." |
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| A way of handling very large and very small numbers |
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| "In scientific notation, positive exponents mean" |
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| "In scientific notation, negative exponents mean" |
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| "In scientific notation, big numbers mean" |
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| "In scientific notation, little numbers mean" |
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| "number, or the product of a number and one or more variables raised to a power." |
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| the numerical factor of the term. |
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| + and – signs that are not inside parentheses. |
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| single term with exponents. |
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| monomial or the sum of monomials. |
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| If a variable does not show an exponent |
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| the exponent is understood to be 1. |
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| is the sum of the exponents on the variables. |
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| The degree of a polynomial |
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Definition
| is the highest degree of all the terms. |
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| A polynomial is in standard form if |
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Definition
| it is written with the terms in descending order of exponents. |
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| distribute the minus and combine like terms. |
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Definition
| is a function whose rule is a polynomial |
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| The degree of a polynomial function is |
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Definition
| the largest exponent on the variable. |
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| To evaluate a polynomial function |
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Definition
| substitute the value for the variable (birds’ nest) |
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| "Blah, blah, blah problems" |
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Definition
| "If they give you a big long paragraph with a polynomial embedded in it, just fish out the polynomial and the value and solve it." |
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Term
| Adding and subtracting polynomial functions |
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Definition
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| The profit function is defined as |
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Definition
| the total revenue minus the total cost. |
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| Multiplying a polynomial by a monomial is just |
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Definition
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| Multiplying a binomial by a binomial is |
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Definition
| really just double distributing |
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| Some people memorize double distributing as |
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Definition
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| "In F.O.I.L., the F stands for" |
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Definition
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| "In F.O.I.L., the O stands for" |
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Definition
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| "In F.O.I.L., the I stands for" |
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Definition
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| "In F.O.I.L., the L stands for" |
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Definition
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| Multiplying a polynomial by a polynomial is usually easier to do if you |
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Definition
| set it up like a regular multiplication of numbers problem |
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| Multiplying polynomials is easier than multiplying numbers because |
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Definition
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| "If you are evaluating the product of functions, you can either:" |
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Definition
| multiply and then evaluate or evaluate and then multiply |
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Definition
| When you are asked to evaluate a polynomial function for an algebraic expression like Find f(x + 2) |
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| "If they ask you to evaluate f(x + 2), what do you do" |
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Definition
| Put an (x + 2) everywhere there was an x |
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