Factoring Review

Multiple Choice

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

Multiple Choice

Use the graph to determine the solutions

• 0 and -4

• 0 and 4

• y= 0

• x= 2

Multiple Select

X-intercepts are the same as.....

• solutions

• roots

• factors

• unicorns

Multiple Select

What can we use to get solutions/roots/x-intercepts?

• Graph

• Quadratic Formula

• Square Root Method

• Factors

Multiple Choice

Are these factors or solutions? (x+2)(x-1)

• Solutions

• Factors

Multiple Choice

Are these factors or solutions? x=5 and x=6

• Solutions

• Factors

Multiple Choice

What are the factors of x² +7x +10?

• (x +8)(x - 1)

• (x+2)(x +5)

• (x + 2)(x - 4)

• (x - 10)(x + 8)

Multiple Choice

What are the solutions of x² +7x +10?

• 2 and 5

• -2 and -5

• (x + 2)(x +5)

• (x - 10)(x + 8)

Multiple Choice

Factor this trinomial:
x² - 5x - 36

• (x - 4)(x + 9)
• (x - 6)(x + 6)
• (x + 4)(x - 9)
• (x -12)(x + 3)

Multiple Choice

Factor the trinomial?

3x² - 9x -120

• 3(x-8)(x+5)

• 3(x-4)(x+30)

• (x-3)(x-3)

• (x+8)(x-5)

Multiple Choice

Factor:

6x² + 5x − 6

• 6(x + 1)(x − 6)

• (6x + 6)(x − 1)

• (2x − 3)(3x + 2)

• (3x − 2)(2x + 3)

Multiple Choice

Factor:

2m² + 3m − 9

• 2(m + 3)(m − 3)

• (2m − 3)²

• (m + 3)(2m − 3)

• (2m + 3)(m − 3)

Multiple Choice

Determine the vertex from the following equation: $$-3\left(x-4\right)^2+1$$  

• Vertex: (4,1)

• Vertex: (-4, -1)

• Vertex: (4, -1)

• Vertex: (-4, 1)

Multiple Choice

Describe the transformation below: $$-3\left(x+4\right)^2-1$$  

• stretch by 3, right: 4, down: 1

• reflect over the x-axis, right: 4, down: 1

• reflect over the x-axis, stretch by 3, left: 4, down: 1

• stretch by 4, down: 3, left: 1

Multiple Choice

Solve the quadratic equation. $$\left(y+2\right)^2=36$$  

• 4 and -8

• $$\pm6$$  

• 4 and -4

• 2 and 6

Multiple Choice

Solve the quadratic equation. $$\left(h-5\right)^2-64=0$$  

• -13 and 3

• no real solutions

• 13 and -3

• 5 and 8

Multiple Choice

Change the quadratic from standard to vertex form:

$$x^2-20x+91$$

• $$\left(x-5\right)^2+6$$

• $$\left(x-15\right)^2+9$$

• $$\left(x-10\right)^2+9$$

• $$\left(x-10\right)^2-9$$

Multiple Choice

Change the quadratic from standard to vertex form:

$$v^2+12v-64$$

• (v + 6)² - 100

• (v - 6)² - 100

• (v + 6)² - 36

• (v + 6)² + 100

Multiple Choice

Change the quadratic from standard to vertex form:

$$v^2+14v+24$$

• (v + 7)² - 25

• (v + 7)² + 25

• (v + 7)² + 5

• (v + 7)² - 5