Factoring Polynomials

2n³ + 7n² - 2n - 7

• cannot be factored
• (n - 1)²(2n + 7)
• (n² - 1)(2n + 7)
• (n + 1)(n - 1)(2n + 7)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Factor
n² + 16n + 63

• (n-7)(n+4)
• (n+7)(n-9)
• (n-3)(n-10)
• (n+7)(n+9)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
x² - 4

• (x-2)²
• (x - 2)(x + 2)
• x(x - 4)
• 2x(x - 2)

Tags

CCSS.HSA.SSE.A.2

Factor completely given (x-4) is a factor. 
x³ - 4x² -4x + 16

• (x+4)(x+2)
• (x-4)(x -2)(x + 2) 
• (x+4)(x² -4)
• (x-4)(x-2)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor
• No, it is not a factor

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Factor by GCF:
17xy - x

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

Factor completely
k²+7x+10

• (k+2)(k+5)
• (k-2)(k-5)
• (k+10)(k+4)
• (k+2)(k-5)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

One root of 2x³-13x²+36 is 2.
What is another zero?

• 3/2
• 6
• 2
• -6

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

How many possible roots does 2x³ + 8x² + 3x + 9 = 0 have based on the rational zero theorem?

•  3 possible roots
• 6 possible roots
• 12 possible roots 
• 24 possible roots

What are the roots of the following factored polynomial?
(x+1)(x-1)(2x+1)=0

• x= -1/2, -1, 1
• x= 1/2, -1, 1
• x = - ± 1
• x= 1/2, 1

Tags

CCSS.HSA.APR.B.3