Factoring Quadratics

x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

Tags

CCSS.HSA.APR.C.4

Factor Completely:

x⁴-9x²

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

Factor
x² -16x + 48

• (x - 12)(x - 4)
• (x + 6)(x - 8)
• (x + 12)(x - 4)
• (x -16)(x - 3)

8r³ + 16r²

• 4r²(2r + 4)
• 8r²(r + 2)
• 8(r³ + r²)
• 4(r³ + 2r²)

Factor
3a² + 4a + 1

• (7a-10)(a-8)
• Not factorable
• (3a+1)(a+1)
• (3a-1)(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?!?!?!

Factor:
5n² - 6n - 27

• (5n + 3)(n-9)
• (5n - 3)(n + 9)
• (5n + 9)(n - 3)
• (5n - 9)(n + 3)

What is the GCF of the polynomial
60x⁵y² + 135x³y³ - 105x²y⁵

• 30x²y²
• 5x³y³
• 15x³y³
• 15x²y²

Factor:
x² + 4xy + 4y²

• (x + y)(4x + 4y)
• (x + 2y)(x + 2y)
• (2x + y)(2x + y)
• (x + 2)(x + 2)

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)
• (2m - 3)²
• (m + 3)(2m - 3)
• (2m + 3)(m - 3)