0. Review of Algebra

In Exercises 1–68, factor completely, or state that the polynomial is prime. 12x³ + 3xy²

In Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.16y² − 6y − 27

In Exercises 57–64, factor using the formula for the sum or difference of two cubes. x^3+64

In Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime.x² − 12xy + 36y²

In Exercises 45–68, factor by grouping.x² − ax − bx + ab

In Exercises 1–68, factor completely, or state that the polynomial is prime. x⁶y⁶ − x³y³

Factor each polynomial. See Examples 5 and 6. 9a^2-16

In Exercises 57–64, factor using the formula for the sum or difference of two cubes. x^3−27

In Exercises 45–68, factor by grouping.x³ − 12 − 3x² + 4x

In Exercises 1–68, factor completely, or state that the polynomial is prime. (x + 5)(x − 3) + (x + 5)(x − 7)

Factor each polynomial. See Examples 5 and 6. x^4-16

Factor each polynomial. See Examples 5 and 6. y^4-81

In Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime.9x² + 48xy + 64y²

In Exercises 45–68, factor by grouping.ay − by + bx − ax

In Exercises 1–68, factor completely, or state that the polynomial is prime. a²(x − y) + 4(y − x)