Algebra 2 Polynomial Review

Which of the following is the factored   form of x³ – 125?

• (x - 5)³
• (x - 5)(x² + 25)
• (x - 5)(x² + 5x + 25)
• (x - 5)(x² - 5x + 25)

Tags

CCSS.HSA.APR.C.4

What is the solution set to x² = 2x – 5?

• {±i}
• {2 ± 2i}
• {1 ± 2i}
• {1, 2}

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Which is a factor of 3x² + 10x – 8 = 0?

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

Tags

CCSS.HSA.APR.B.2

Factor: 9x²-64

• (3x-8)²

• (9x+8)(x-8)

• (3x-8)(x+8)

• (3x-8)(3x+8)

Tags

CCSS.HSA.APR.C.4

Use the fundamental theorem of algebra to determine exactly how many zeros the polynomial  $x^6+x+1$  has

• 6 zeros
  

• 1 zero
  

• 5 zeros
  

• 2 zeros
  

Tags

CCSS.HSN.CN.C.9

Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the following zeros:  $2,\ 3+i$  

•  $x^3-8x^2+22x-20$  

•  $x^3+8x^2-22x+20$  

•  $x^3+8x^2-2x+20$  

•  $x^3-8x^2+2x-20$  

Tags

CCSS.HSA.APR.B.3

Which polynomial is written in standard form?

• -3x + 8x² + 9x³ - 11
• 9x³ + 8x² - 3x - 11
• 8x² + 9x³ -11 - 3x
• -11 - 3x + 8x² + 9x³

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Write x³ + 9x² + 18x in factored form

• x(x + 6)(x + 3)

• x(x + 9)(x + 2)

• x(x + 6)

• x(x - 6)(x - 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

When a polynomial function f(x) is divided by
 (x - 8), the remainder is 12. 
What is f(8)?

• -8
• 8
• 12
• cannot be determined

Tags

CCSS.HSA.APR.B.2

• None
• 1
• 2
• 4

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11