Blitzer Introductory Algebra for College Students 5th ed Chapter 6
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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| How do you subtract polynomials? | show 🗑
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| What is a polynomial? | show 🗑
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| show | It is customary to write the terms in the order of descending powers of the variables.
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| How do you multiply fractions? | show 🗑
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| show | The degree of a polynomial is the greatest degree of all terms of the polymonial.
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| How do you add polynomials? | show 🗑
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| Multiplying polynomials: What is the product rule? | show 🗑
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| Multiplying polynomials: What is the power rule? | show 🗑
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| show | The Products-to-Powers Rule says: When a product is raised to a power, raise each factor to the power.
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| show | To multiply a monomial and a polynomial, use the distributive property to multiply each term of the polynomial by the monomial.
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| How do you multiply polynomials when neither is a monomial? | show 🗑
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| show | 1. Double distribute.2. FOIL
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| show | Simply distribute each term in the first binomial through the second binomial. This method always works.
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| show | F = the product of the FIRST terms in each binomial, O = the product of the OUTSIDE terms, I = the product of the INSIDE terms, and L = the product of the LAST or second terms in each binomial.
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| What is the shortcut to finding the product of the sum and difference of two identical terms? | show 🗑
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| show | The square of a binomial sum is the first term squared PLUS 2 times the product of the terms plus the last term squared.
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| What is the square of a binomial difference? | show 🗑
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| show | (A+B)(C+D) = AC + AD + BC + BD
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| show | (A+B)(A-B) = A squared - B squared
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| show | SUM(A + B)squared = A squared + 2AB + B squaredDIFFERENCE (A + B) squared = A squared - 2AB + B squared
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
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If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
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.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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