Factoring Quadratics

Factor out GCF: 12x⁵ - 24x²

• 12x² ( x³ - 2)

• 6x² (2x³ - 4)

• 6x² (2x³ - 4x)

• 2x² (6x³ - 12)

What is another word that describes the zeroes of a quadratic function?  

• y-intercepts
• vertex
• x-intercepts
• maximum

Factor:  2x² - 5x + 2

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

Fully Factor the Following
25x²-81

• (5x-9)²
• (5x+9)(5x-9)
• 25(x-9)²
• (9x+5)(9x-5)

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.

 $x^2-7x=0$  

Solve by the method of your choice.

• x = 7 only
  

• x = 0 only
  

• x = 0 and 7
  

• There is no real answer for this equation.
  

Solve by factoring

• -4, 2

• -2, 4

• -16

• -4

Factor Completely: 
3x² + 18x +15

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

Why do we factor quadratics?

• To determine whether the parabola opens up or down.

• To determine were the parabola crosses the x-axis.

• To determine where the parabola crosses the y-axis.

• To determine the vertex.

Which of the following equations is in Standard Form

• $y=3x^2+5x+4$

• $y=3\left(x-5\right)^2+4$

• $y=\left(x+1\right)^2-11$

• $y=5\left(x-4\right)^2$