0. Review of Algebra

In Exercises 7–14, simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. (3x−9)/(x²−6x+9)

In Exercises 9–14, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. (−6x³+5x²−8x+9)+(17x³+2x²−4x−13)

In Exercises 9–14, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. (17x³−5x²+4x−3)−(5x³−9x²−8x+11)

Simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. $\(\frac{y^2 + 7y - 18}{y^2 - 3y + 2}\)$

Multiply or divide as indicated. $\(\frac{6x + 9}{3x - 15}\) \(\cdot\) \(\frac{x - 5}{4x + 6}\)$

In Exercises 15–58, find each product. (2x−3)(x²−3x+5)

In Exercises 15–32, multiply or divide as indicated. (x²−4)/(x²−4x+4) ⋅ (2x−4)/(x+2)

Find each product. (x+7)(x+3)

Find each product. (x−1)(x+2)

Multiply or divide as indicated. $\(\frac{x + 5}{7}\) \(\div\) \(\frac{4x + 20}{9}\)$

Find each product. (2x−5)(7x+2)

In Exercises 15–32, multiply or divide as indicated. (x²−4)/(x−2) ÷ (x+2)/(4x−8)