Factoring Practice and Review

Factoring Practice and Review

Quadratic Functions:

• Make a shape called a parabola

• Have two solutions (2 real solutions in Algebra 1)

• X-intercepts, solutions and zeros are the same thing

• Factors and solutions are different but we can find solutions from factors

• We can use the quadratic formula, a graph, square root method, completing the square method or factoring method to find solutions.

Multiple Choice

What are the solutions?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Multiple Choice

What are the solutions from these factors? (x-2)(x+1)

• x=-2 and x=1

• x=2

• x= 2 and x=-1

• x=4

Multiple Choice

Are these factors or solutions? (x+9)(x-1)

• factors

• solutions

Multiple Choice

Which factors match the graph?

• (x+1)(x-3)

• (x+3)(x-1)

Multiple Choice

Which factors match the graph?

• (x+2)(x-1)

• (x-2)(x+1)

• (2x+2)(x-1)

Factor: x²+7x+6

Factor: 2x²-14x+20

Multiple Choice

What is the first question you ask yourself when factoring a polynomial? 

• How many terms does it have? 
• Is there a GCF? 
• What strategy should I use? 
• Why do I have to learn this?!?!?!

Multiple Choice

Factor
x² -16x + 48

• (x - 12)(x - 4)
• (x + 6)(x - 8)
• (x + 12)(x - 4)
• (x -16)(x - 3)

Multiple Choice

Factor:
x² - 9

• (x + 3)(x - 3)
• (x + 3)²
• (x - 3)²
• (x+3)(x+3)

Multiple Choice

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Factor: 3x²-5x-12

Factor: 2x²-5x+7

Factor: 2x²+3x-9

Multiple Choice

Factor 6x² - 17x + 5

• (6x - 5)(x + 1)

• (3x - 5)(2x - 1)

• (2x - 5)(3x - 1)

• (6x - 1)(x - 5)

Multiple Choice

Factor

3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

Multiple Choice

Factor

3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

Standard to Vertex Form

x²+16x-42=-6

Multiple Choice

Write the following quadratic expression in vertex form...

x² + 10x + 13

• (x + 5)² - 12

• (x + 5)² + 3

• (x + 5)² + 12

• (x + 5)² - 15

Multiple Choice

Write the following quadratic expression in vertex form...

x² + 8x - 1

• (x + 4)² - 17

• (x + 4)² - 16

• (x + 4)² - 9

• (x + 4)² - 15

Multiple Choice

Write the following quadratic expression in vertex form...

x² + 8x + 2

• (x + 4)² - 14

• (x + 4)² - 6

• (x + 4)² - 18

• (x + 4)² + 6

Multiple Choice

Write the following quadratic expression in vertex form...

x² + 4x + 10

• (x + 4)² + 6

• (x + 2)² + 6

• (x + 4)² - 6

• (x + 2)² - 6