Factoring special cases & Perfect Squares

Factor: 
x² - 400

• ( x - 200) ( x + 200) 
• ( x + 20) ( x + 20) 
• Prime
• ( x - 20) ( x + 20) 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: 
25x² - 100y²

• ( 5x - 10y) (5xy + 10y) 
• ( 5x - 10y)²
• Prime
• ( 5x - 50y) (5x + 50y) 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following trinomials is a perfect square trinomial?

• r² - 6r + 36
• 4y² + 10y + 25
• x² + 16x + 16
• 9a² - 12a + 4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor, if possible: 
64x²-16x+1

• Not factorable.
• (32x-1)²
• (8x+1)²
• (8x-1)²

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following is NOT a perfect square trinomial?

• x² – 16x + 64 
• x² – 10x + 20 
• x² – 28x + 196 
• x² – 24x + 144 

Tags

CCSS.HSA.APR.C.4

Factor: x² + 24x + 144

• (x + 12)²
• (x + 9)²
• (x + 15)²
• (x + 13)²

Tags

CCSS.HSA.APR.C.4

Which of the following is a perfect square trinomial?

• x² + 14x – 49 
• x² + 20x + 100 
• x² – 8x + 4 
• x² – 5x + 6 

Tags

CCSS.HSA.APR.C.4

Factor

x² + 18x + 81

• (x + 9)(x – 9)

• (x + 18)²

• (x + 9)²

• (x + 6)²

Tags

CCSS.HSA.APR.C.4

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Is the polynomial a perfect square and if it is factor the polynomial.
x² - 16x + 16

• Is not a perfect square
• Is a perfect square; (x + 4)²
• Is a perfect square; (x - 4)²
• Is a perfect square; (x - 16)²

Tags

CCSS.HSA.APR.C.4