Solving and Factoring Quadratics

What is the first step when factoring polynomials?

• Find the GCF
• List all the terms
• Make a triangle
• Write the answer

Tags

CCSS.HSA.SSE.A.2

Factor completely.
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)
• (3x - 4)(x + 3)
• (3x + 3)(x -4)
• (3x - 3)(x + 4)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Solve for x by factoring.

• -6, -2
• -2, 6
• 2, 6
• -6, 2

Tags

CCSS.HSA-REI.B.4B

Solve
 2x² - 3x - 2 = 0

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

Tags

CCSS.HSA-REI.B.4B

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x
• Solve for x
• FOIL
• Set each binomial factor equal to zero

Tags

CCSS.HSA-REI.B.4B

Factor Completely: 
3x² + 18x +15
Hint: Factor GCF first.

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4
• -4 & 10
• -8 & 4
• 8 & -4

Tags

CCSS.HSA-REI.B.4B

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter 

• a=0, b=5, c=7
• a=1, b=5, c=7
• a=7, b=5, c=1

Solve using the quadratic formula...
9x² = 4 + 7x

• x = 2 and x = 3
• x = -1 and x = .25
• x = 1 and x = -.45
• x = 1.16, and x = -.38

Tags

CCSS.HSA-REI.B.4B