0. Review of Algebra

Factor each polynomial. See Examples 5 and 6. (a+b)^2-16

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

Factor each polynomial. See Examples 5 and 6. (p-2q)^2-100

In Exercises 65–92, factor completely, or state that the polynomial is prime. 5x^3−45x

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.15x² + 111xy − 14y²

In Exercises 1–68, factor completely, or state that the polynomial is prime. p³ − pq² + p²q − q³

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.15a² − ab − 6b²

In Exercises 65–92, factor completely, or state that the polynomial is prime. 2x^4−162

In Exercises 69–80, factor completely.x⁴ − 5x²y² + y⁴

In Exercises 65–74, factor by grouping to obtain the difference of two squares. 9x^2 − 30x + 25 − 36x^4

In Exercises 69–78, factor each polynomial.ab − c − ac + b

In Exercises 69–80, factor completely.(x + y)² + 6(x + y) + 9

In Exercises 65–74, factor by grouping to obtain the difference of two squares. x⁴ − x² − 2x − 1

In Exercises 69–78, factor each polynomial.x³ − 5 + 4x³y − 20y

Factor each polynomial. See Examples 5 and 6. y^2-x^2+12x-36