Factoring when a=1

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?!?!?!

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

How do you factor a trinomial when the coefficient of x² is 1? (ex: x² - 2x + 10)

• Take out the GCf then you're done
• Difference of two squares 
• Find what multiplies to the last number and adds to the middle
• Slip & Slide

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
(x² - 2x - 15)

• (x - 5)(x + 3)
• (x + 3)(x - 5)
• (x - 3)(x - 5)
• (x - 15)(x - 2)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: 
x² + 7x + 6

• (x + 6) (x + 1)
• (x + 3) (x + 2)
• (x + 4) ( x + 3)
• (x - 6) ( x -1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

Factor
d² - 10d + 25

• (d + 5) (d - 5)
• (d - 15) (d + 10)
• (d + 5) (d - 20)
• (d - 5) (d - 5)

Tags

CCSS.HSA.APR.C.4

Factor: 
x² + 7x + 6

• (x + 6) (x + 1)
• (x + 3) (x + 2)
• (x + 4) ( x + 3)
• (x - 6) ( x -1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
(x² - 4x + 3)

• (x - 1)(x - 3)
• (x - 1)(x + 3)
• (x - 4)(x + 1)
• (x - 4)(x - 1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
(x²  + 8x - 20)

• (x + 10)(x - 2)
• (x + 4)(x + 5)
• (x - 10)(x + 2)
• (x - 8)(x + 20)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve for the values of x:
(x - 3)(x + 6) = 0

• { -3, -6 }
• { 3, -6 }
• { -3, -6 }
• { 3, 6 }

Tags

CCSS.HSA-REI.B.4B

x² + 10x - 28

• (x - 4)(x + 7)
• (x + 14)(x - 4)
• (x + 12)(x - 2)
• Not Factorable

Tags

CCSS.HSA.REI.B.4