Factoring Quadratics

Factor: x² – 5x – 24

• (x - 5)(x + 19)
• (x - 8)(x + 3)
• (x - 3)(x + 8)
• (x - 19)(x + 5)

Factor:  a² + 10a + 21 = 0

• (a - 3)(a - 7)
• (a + 3)(a + 7)
• (a + 21)(a + 1)
• (a + 28)(a - 7)

What is the factored form of x²+16x+15

• (x+1)(x+15)
• (x+3)(x+5)
• (x-3)(x-5)
• (x-1)(x+15)

What are the factors of 3x²-17x+10

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

Keith found the zeros of a graph to be

 $\frac{1}{2}$  and  $-3$  .  
What would the equation look like in factored form?

• y = (2x + 1)(x + 3)

• y = (2x – 1)(x + 3)

• y = (2x – 1)(x – 3)

• y = (2x + 1)(x – 3)

How would the equation of this graph look in factored form?

• y = (x – 5)²

• y = (x + 5)²

• y = x(x – 5)

• y = x(x + 5)

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Identify the 'b' value: y = 16x² -8x -24

• 16
• -8
• 8
• -24

The quadratic equation can be used to solve quadratic equations that cannot be factored.

• True
• False

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.