Math 1 - Chapter 8.3/8.4 Solving Quadratics by Factoring

How can you use a graph to find the number of solutions of a quadratic equation?

The number of solutions is the number of ​ ​ (a)   of the graph of the related equation.

• x-intercepts
• y-intercepts
• maximums
• minimums

Solve using the Zero-Product Property.

(x + 4)(x − 3) = 0

• x = 4 and x = −3

• x = 2 and x = 1

• x = −4 and x = 3

• x = −2 and x = 1

Tags

CCSS.HSA-REI.B.4B

Solve using the Zero-Product Property.

7x(x − 6) = 0

• x =7 and x = −6

• x = 0 and x = 6

• x = 0 and x = −6

• x = 7 and x = 6

Tags

CCSS.HSA-REI.B.4B

Solve using the Zero-Product Property

(x −11)(5x + 1) = 0

Tags

CCSS.HSA-REI.B.4B

Factor and Solve: Remember the two numbers you choose when factoring, are not your solutions to the equation!

a² + 2a − 24 = 0

• a = −6, 4

• a = 6, −4

• a = 12, −2

• a = 8, −3

Tags

CCSS.HSA-REI.B.4B

Factor and Solve: Remember the two numbers you choose when factoring, are not your solutions to the equation!

x² + 13x + 12 = 0

• x = −12, −1

• x = 12, 1

• x = 13, 1

• x = −13, −1

Tags

CCSS.HSA-REI.B.4B

Solve

x² - 9x + 20 = 0

x=​ ​ ​ (a)   ,​ ​ (b)  

• -5
• -4
• 4
• 5

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Given the following quadratic equation, find the larger solution.

 $x^2+3x-40=0$  

Tags

CCSS.HSA-REI.B.4B

Match the equation to the solutions. (Hint: Use Desmos to work fast)

• x = 2 and x = 5

• x = 5 and x = 4

• x = -3 and x = 6

• x = 5 and x = -6

• x = 9 and x = 2

Tags

CCSS.HSA-REI.B.4B