0. Review of Algebra

Solve each polynomial equation in Exercises 1–10 by factoring and then using the zero-product principle. $4y^3-2=y-8y^2$

Solve each polynomial equation in Exercises 1–10 by factoring and then using the zero-product principle. $5x^4-20x^2=0$

Solve each equation in Exercises 96–102 by the method of your choice. x^3 + 2x^2 = 9x + 18

Factor completely, or state that the polynomial is prime. 3x^4-12x^2

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 9x²+5x−4

Factor completely, or state that the polynomial is prime. 16x^2-40x+25

In Exercises 1–10, factor out the greatest common factor. x²(2x+5)+17(2x+5)

In Exercises 1–10, factor out the greatest common factor. x(2x+1)+4(2x+1)

In Exercises 49–56, factor each perfect square trinomial. x^2−14x+49

In Exercises 49–56, factor each perfect square trinomial. 4x^2+4x+1

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 3x²+4xy+y²

In Exercises 65–92, factor completely, or state that the polynomial is prime. x³+2x²−9x−18

In Exercises 65–92, factor completely, or state that the polynomial is prime. 6x²−6x−12

In Exercises 93–102, factor and simplify each algebraic expression. x^3/4−x^1/4

In Exercises 93–102, factor and simplify each algebraic expression. (x+3)^1/2−(x+3)^3/2