Algebra 2 - Unit 4 Review

​Algebra 2

Unit 4 Review​

​Instructions

​Please read carefully

There are two videos embedded in the lesson. These are for review purposes. If you feel good about the concepts you can skip them and focus on the problems. Watch only what you need to so that you can be ready to answer the problems. ​

Good luck!​

Multiple Choice

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Multiple Choice

Multiply.
(b+3)(b²+2b+1)

• b³+6b²+6b+3
• b³+5b²+7b+3
• 4b³+8b²+3b
• 3b³+6b²+3b

Multiple Choice

(x +2)(x + 3)

• x² + 5x + 6
• x² + x + 6
• x² + 5x + 5
• x² + 6x + 6

Multiple Choice

• 2x - 5

• x - 4

• x + 4

• 2x + 4

Multiple Choice

Add the polynomials. (3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

(combine like terms)

• 4x³ + 1x² – 3x + 1
• 2x³ + 1x² - 5x + 9
• 6x³ + 1x - 1x² - 3
• 3x⁵ +1x - 1x⁵ - 3x

Multiple Choice

Find the product:
(2x+3)²

• 2x+3+2x+3
• 4x²+12x+9
• 4x²+9
• 16x²+9

Multiple Choice

(x³+x²+x+4)÷(x²+2)

• x-1+(-x+2/x²+2)
• x-1+(x+2/x²+2)
• x+1+(-x+2/x²+2)
• x+2+(x+2/x²+2)

Multiple Choice

What is the perimeter of the rectangle?

• $$25x^{2\ }-\ 20x$$  

• $$10x-4$$  

• $$20x\ -\ 8$$  

• 44

Multiple Choice

What is the area of the rectangle?

• $$25x^{2\ }-\ 20x$$  

• $$20x\ -\ 8$$  

• $$10x\ -\ 4$$  

• 44

​Algebra 2 - Factoring Polynomials

Multiple Choice

Factor completely.

$$x^2+8x-9$$  

• $$\left(x+3\right)\left(x-3\right)$$  

• $$\left(2x+3\right)\left(x-3\right)$$  

• $$\left(x-9\right)\left(x+1\right)$$  

• $$\left(x-1\right)\left(x+9\right)$$  

Multiple Choice

Factor completely.

$$2x^2-3x-14$$  

• $$\left(x+7\right)\left(2x-3\right)$$  

• $$\left(2x+2\right)\left(x-7\right)$$  

• $$\left(2x-7\right)\left(x+2\right)$$  

• $$\left(x-14\right)\left(x+1\right)$$  

Multiple Choice

Factor Completely

$$x^2-49$$  

• $$\left(x+7\right)\left(x-7\right)$$  

• $$7\left(x-7\right)$$  

• $$\left(x-7\right)\left(x-7\right)$$  

• $$x\left(x-7\right)$$  

Multiple Choice

x⁴ - 4x² - 45

• (x² - 5)(x - 3)(x + 3)
• (x² + 45)(x + 1)(x - 1)
• (x² + 5)(x - 3)(x + 3)
• (x² + 3)(x - 5)(x + 3)

Multiple Choice

What method should you use to factor the polynomial?

x² - 36

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Difference of 2 Cubes

Multiple Select

What method should you use to factor the polynomial?

5n³-10n²+3n-6

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Trinomials (ac,b,T-chart)

Multiple Choice

Factor Completely. $$8x^2-200$$  

• $$8\left(x+5\right)\left(x-5\right)$$  

• $$8\left(x^2-25\right)$$  

• $$4\left(2x^2-50\right)$$  

• $$4\left(2x+25\right)\left(2x-25\right)$$  

Multiple Choice

Factor:   x³ + 512

• (x + 8)(x² - 8x + 64)

• (x + 8)(x² + 8x -64)

• (x-8)(x + 2)

• (x - 8)(x² - 8x - 64)

Multiple Choice

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Multiple Choice

What is the GCF of the trinomial?
3x² - 9x -120

• 3
• 2
• 6
• 9

Multiple Choice

Factor by grouping:

4p³ + 8p² + 3p + 6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Multiple Choice

Factor using sum or difference of cubes. (use your notes!)

a³ + b³

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Multiple Choice

Complete the formula
a³-b³=

• (a-b)(a²+ab+b²)
• (a+b)(a²-ab+b²)
• (a-b)(a²-ab+b²)
• (a+b)(a²+ab+b²)

Multiple Choice

Factor 64-27a³

• (4-3a)(9a²+12a+16)

• (3a-4)(3a²+12a+16)

• (4-3a)(3a²+12a+16)

• (4-3a)³