Factoring Polynomials

Factor the GCF
4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)
• 4b³(b⁴+4b+5)
• 4(b⁵+b³+4b²)
• 4b²(b³+b+4)

To factor x²+13x+42, think of two numbers whose (blank) is 42 and whose (blank) is 13. 

• product, sum
• sum, product
• You guess until it is right

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.
k² -2k - 24

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.REI.B.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.SSE.A.2

CCSS.HSA.APR.A.1

Factor the polynomial. 
x²-4x-32

• (x-8)(x+4)
• (x-4)(x-32)
• (x+3)(x-4)
• x+2)(x+5)

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)

What is the greatest common factor of 48x²and 32x³?

• 8x²
• 16x²
• 16x
• 96x³

Tags

CCSS.7.EE.A.1

Factor:
17xy - x

• 17(xy - x)
• y(17x - x)
• x(17y - 1)
• not factorable

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Factor by grouping:
3x³-x²+6x-2

• (x²+2)(3x+1)
•  (x²+2)(3x-1)
• (3x³+6x)(x²-2)
• none of the aboe

Find the greatest common factor. 6x⁴y³-12x⁴y²+6x³y²

• 6
• 6xy
• 6x³y²
• 6x⁹y⁶