| A | B |
|---|
| quadratic polynomial | an algebraic expression in which the highest degreed factor is second degree |
| ax^2 + bx + c | standard form for a quadratic polynomial with one variable |
| ax^2 + bxy + cy^2 | standard form for a quadratic polynomial with two variables |
| degree of a term | the ordinal form of the sum of the exponents applied to the variables |
| degree of an expression | the same as the degree of the highest-degree term in the expression |
| GCF | Greatest Common Factor |
| Difference of two squares | two perfect square terms: one subtracted from the other |
| ac method | used to factor a standard quadratic trinomial when "a" does not equal one and "a" is not a common factor |
| The sum of two squares | is always prime |
| prime polynomials | cannot be factored |
| First factoring process attempted | GCF |
| Four | the number of terms necessary to factor by grouping |
| Factor by grouping (1st step) | Common factors are removed from the first two terms and then the last two terms |
| Factoring ax^2 + bx + c, a = 1 | factors of "c" must have a sum equal to "b" |
| Factoring ax^2 + bx + c, ac method | factors of "ac" must have a sum equal to "b" |
| A set of factors can be verified | by multiplying them together. |
