Solving Quadratics by Factoring and Quadratic Formula

What is the discriminant?

• b²-4ac
• b²/2a
• 4ac
• b²±4ac

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

If the discriminant is negative, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solutions

Tags

CCSS.HSA.REI.B.4

If the discriminant equals 0, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solution

Tags

CCSS.HSA.REI.B.4

If the discriminant is positive, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solution

Tags

CCSS.HSA.REI.B.4

What is this?

• This is the speed of light formula.
• This is the quadratic formula.
• This is the zero product property.
• This is scary.

Tags

CCSS.HSA.REI.B.4

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.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

• √3
• ±√3
• -3
• No real solution

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

• ±81
• ±9
• ±3
• No real solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

• -4, 2
• -2, 4
• -16
• -4

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Find the zeros of this quadratic.

• b=4/5, b=3
• b=4, b=-3
• b=1/5, b=3
• b=4/5, b=-3

Tags

CCSS.HSA-REI.B.4B