Solve Quadratics by factoring

Solve Quadratics by factoring

By Deb Scott

Multiple Choice

Solve the Following Quadratic Equations

$$x^2-3x-28=0$$  ?

• $$\left\{4,\ -7\right\}$$  

• $$\left\{-2,\ 14\right\}$$  

• $$\left\{-4,\ 7\right\}$$  

• $$\left\{-25,\ 28\right\}$$  

Multiple Choice

Solve the Following Quadratic Equations

$$2x^2+5x-12=0$$  ?

• $$\left\{4,\ -7\right\}$$  

• $$\left\{-2,\ 14\right\}$$  

• $$\left\{-4,\ \frac{3}{2}\right\}$$  

• $$\left\{-25,\ 28\right\}$$  

Multiple Choice

Solve
x² + 2x - 24 = 0

• x = -6, x = 4
• x = 6, x = -4
• x = 12, x = -2
• x = 8, x = -3

Multiple Choice

Solve
 2x² - 3x - 2 = 0

• x = 1, x = -1
• x = -1/2, x = 2
• x = 1/2, x = 2
• x = 1/2, x = 1

Multiple Choice

Solve for the values of x:

(x + 2)(x - 3) = 0

• x = 2, 3

• x = -2, -3

• x = 2, 3

• x = -2, 3

Multiple Choice

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6

• x = 3 and x = -6

• x = -9 and x = 2

• x = 9 and x = -2

Multiple Choice

Solve

16a² - 9 = 0

• a = ^-3/₄, ³/₄

• a = ^-4/₃, ⁴/₃

• a = ^-9/₁₆, ⁹/₁₆

• a = ^-16/₉, ¹⁶/₉

Multiple Choice

Solve:

3x² + 18x +15 = 0

Hint: Factor GCF first.

• x = 3, 2

• x = 5, 1

• x = -5, -1

• x = -3, -2

Multiple Choice

Solve:  $$2x^2-15=x$$  

• $$x=-\frac{5}{2}$$  and  $$x=3$$  

• $$x=\frac{5}{2}$$  and  $$x=-3$$  

• $$x=\frac{5}{2}$$  and  $$x=3$$  

• $$x=-\frac{5}{2}$$  and  $$x=-3$$  

Multiple Choice

6x²-x-2=0

• x= -2/3, 1/2

• x= 2/3, -1/2

• x= -2/3, -1/2

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

Solve the equation by factoring.

• $$\left\{3,\ -5\right\}$$

• $$\left\{-3,\ 2\right\}$$

• $$\left\{-5,\ -3\right\}$$

• $$\left\{3,\ -4\right\}$$

Multiple Choice

Solve the equation by factoring.

• $$\left\{2,\ -1\right\}$$

• $$\left\{-5,\ 5\right\}$$

• $$\left\{-4,\ 1\right\}$$

• $$\left\{-8,\ 6\right\}$$

Multiple Choice

Solve by factoring:  2x²+ 7x + 6 = 0

• x= 3/2 and x = 2
• x = -3/2 and x = -2
• x = 6 and x = 7
• x = -6 and x = -7