Math+Power+10+3.2-3.7+Practice+Quiz

Practice Questions for Factoring (3.2-3.7) Group Members: Enoch Chan, Kevin Peng, Ramith, Racle, Sahan, and Vinoth. The rest of my group, please make an answer page to the questions I wrote. Thanks. ^=exponent
 * 3.2 Multiplying Binomials**

Find the product. 1. (a+6)(a+7) 2.(d+7)(d-6)

Expand. 3. 3(x+5)(x-5) 4. 6-4(x+2)(x+8)-(x+7)(x+8) 5. A square with a side length of x cm is extended by 5 cm on one side and 10 cm on the other. Show the area of the new shape as a product of two binomials.


 * 3.3 Special Products**

Expand 1. (x+6)^2 2. (m-6)(m+6) 3. (4a+2)(4a-2) 4. Use x=y+3 to write x^2-3x+6 in terms of y. Then, expand and simplfy. 5. Is it possible to have 5 terms as a product of two binomials? Explain. 6. An length of an edge of a cube is represente by the expression 2y+4. Write, expand, and simplify an expression for the volume of the cube.


 * 3.4 Common Factors**

Factor, if possible. 1. 5x+15 2. 4x(a+b)-2(a+b) 3. 12y-15xy-56 4. 24xy-12x+36


 * 3.5 Factoring Trinomials**

Factor, if possible. 1. m^2+24m+8 2. 2x^2+6x+4 3. y^2+17y+52 4. x^2-27x+72 5. The area of a rectangle can be represented by the expression x^2+14x-32. a) Factor the expression. b) A smaller rectangel is 2 unit shorter on each side than the firs rectangle. Write a factored expressino for the area of the new rectangle.


 * 3.6 Factoring Complex Trinomials**

Factor, if possible. 1. 2y^2-y-6 2. 10a^2-17a+3


 * 3.7 Factoring Special Quadratics**

Factor, if possible. 1. 4^2-81y^2 2. 9a^2-26a+16 3. (y+2)^2-9