Slip and Slide Factoring

Factoring Quadratics

Multiple Choice

What are the green dots called?

• axis of symmetry

• vertex

• parabola

• x-intercepts

Multiple Choice

What are the x-intercepts?

• 0 and 2
• -4 and 0
• 2 and 3
• 0 and 4

Multiple Choice

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• x = 2 and x = -2

• x= 2

Multiple Choice

What is the quadratic function for the graph in intercept form?

• y = (x - 2)(x - 6)

• y = - (x - 2)(x - 6)

• y = (x + 2)(x + 6)

• y = (x + 4)(x - 4)

Multiple Choice

Write an equation of this graph in intercept (factored) form.

• h(x) = (x - 1)(x + 3)

• h(x) = (x + 1)(x - 3)

Multiple Select

What is a quadratic function in factored (intercept) form with x-intercepts of 5 and -2

• f(x) = x² + 3x -10

• f(x) = (x + 5)(x - 2)

• f(x) = (x - 5)(x + 2)

• f(x) = (x + 1.5)² - 12.25

Multiple Select

What are the x-intercepts for g(x) = (x + 8)(x + 2)

• 8 and 2

• (8, 2)

• -8 and - 2

• (-8, -2)

Multiple Choice

Find the zero(s) of the function.

• x = 1
• x = -3
• x = {-1, 3}
• x = 2

Multiple Choice

Factor:
 3x²-17x+10

• (x-5)(3x-2)
• (x+5)(3x+2)
• (3x-5)(x-2)
• (x+5)(3x-2)

Multiple Choice

Find the factors of 4x²-16x-9

• (2x-9)(2x+1)
• (2x+9)(2x-1)
• (4x-1)(x+9)
• (x+1)(4x-9)

Multiple Choice

Find the factors of x²-81

• (x-9)(x+9)
• (x+9)(x+9)
• (x-9)(x-9)
• Can't be factored

Multiple Choice

What are the factors of x²-8x-48

• (x-12)(x+4)
• (x+12)(x-4)
• (x+12)(x+4)
• (x-12)(x-4)

Multiple Choice

What are the factors of x²+3x-40

• (x+10)(x-4)
• (x+8)(x-5)
• (x+20)(x-2)
• (x+1)(x-3)

Multiple Choice

What are the factors of 3x²-17x+10

• (x-5)(3x-2)
• (x+5)(3x+2)
• (3x-5)(x-2)
• (x+5)(3x-2)

Multiple Choice

Factor:

x² + 11x + 24

• (x + 6)(x + 4)

• (x + 12)(x + 2)

• (x - 8)(x - 3)

• (x + 8)(x + 3)

Multiple Choice

3x³ + 9x² - 15x 

• x(3x² + 9x - 15) 
• 3x(x² + 3x - 5)
• 3x(x² - 9x + 15) 
• x(3x² -9x + 15) 

Multiple Choice

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)
• 2n²(4n + 1)
• n²(8n+2)
• 3n(4n+1)

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

Multiple Choice

Factor completely.
5x² - 7x + 2

• 5(x - 2)(x + 1)
• (5x - 2)(x + 1)
• (7x - 1)(x - 4)
• (5x - 2)(x - 1)