| Term | Definition |
|---|
| polynomial | An expression which is the sum of terms of the form ax^k, where k is a nonnegative integer |
| standard form | The form of a polynomial ax^n + bx^(n-1) + ... + qx + r |
| degree | The name for the exponent of the variable in a term of a polynomial |
| degree of a polynomial | The largest degree of any of the terms of a polynomial. |
| leading coefficient | When a polynomial is written in standard form, the coefficient of the first term is the ____. |
| monomial | A polynomial with only one term is called a ____. |
| binomial | A polynomial with two terms is called a ____. |
| trinomial | A polynomial with three terms is called a ____. |
| constant | The growth of a polynomial is ____ in a monomial of degree zero. |
| linear | The growth of a polynomial is ____ in a monomial of degree one. |
| quadratic | The growth of a polynomial is ____ in a polynomial of degree two. |
| cubic | The growth of a polynomial is ____ in a polynomial of degree three. |
| quartic | The growth of a polynomial is ____ in a polynomial of degree four. |
| 7 | Which is the constant term in 2x^3 + 5x^2 - 4^x + 7 ??? |
| 2 | Which is the leading coefficient in 2x^3 + 5x^2 - 4^x + 7 ??? |
| 3 | What is the degree of the polynomial in 2x^3 + 5x^2 - 4^x + 7 ??? |
| 2 | What is the degree of the 2nd monomial in 2x^3 + 5x^2 - 4^x + 7 ??? |
| 1 | What is the degree of the third monomial in 2x^3 + 5x^2 - 4^x + 7 ??? |
| 4 | What is the coefficient of the third monomial in 2x^3 + 5x^2 - 4^x + 7 ??? |
| 7 | What is the coefficient of the fourth monomial in 2x^3 + 5x^2 - 4^x + 7 ??? |
| 0 | What is the power of the fourth monomial in 2x^3 + 5x^2 - 4^x + 7 ??? |
| First Outer Inner Last | What does FOIL stand for? |
| (a+b)(a-b) = a^2 - b^2 | What is the sum and difference pattern? |
| sum and difference | What pattern? (a+b)(a-b) = a^2 - b^2 |
| square of a binomial | What pattern? (a+b)^2 = a^2 + 2ab + b^2 |
| square of a binomial | What pattern? (a-b)^2 = a^2 - 2ab + b^2 |
| factored form | A polynomial is in ____ if it is written as the product of two or more linear factors. |
| ab=0 | Zero Product Property: Let 'a' and 'b' be real numbers. If ____, then 'a' = 0 or 'b' = 0 |
| zero property | What property? LPr |
| difference of two squares | What pattern? a^2 - b^2 = (a+b)(a-b) |
| a^2 - b^2 = (a+b)(a-b) | What is the difference of two squares pattern? |
| perfect square trinomial | What pattern? a^2 + 2ab + b^2 = (a+b)^2 |
| perfect square trinomial | What pattern? a^2 - 2ab + b^2 = (a-b)^2 |
| prime | A polynomial is ___ if it is not the product of polynomials having integer coefficients |
| monomial factors | To factor a monomial completely, write it as the product of 1.) ____ and 2.) prime factors with at least two terms |
| prime factors with at least two terms | To factor a monomial completely, write it as the product of 1.) monomial factors and 2.) ____ |
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