Factoring Polynomials Review

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor out the GCF:
12x + 6

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

Tags

CCSS.7.EE.A.1

7r³-8r²+42r-48

• (r²+6)(7r+8)
• (r²+6)(7r-8)
• (r²+6)(r²+8)
• (r²+6)(7r+6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor Completely: 
2k²-14k-60
 

• 2(k-10)(k-3)
• Not Factorable
• (k-5)(k+9)
• 2(k-10)(k+3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely: 
3x² + 18x +15

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
9x²+9x-10

• (3x-5)(3x+2)
• (3x+5)(3x-2)
• (3x+5)(3x+2)
• Not Factorable

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

factor:x² - 25

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

Tags

CCSS.HSA.APR.C.4

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.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Factor completely:

25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

Tags

CCSS.HSA.APR.C.4