Solving Polynomial Functions

f(x) = 3x³+10x²+9x+2; one factor is x+2, find all of the factors

• (x+1)(3x + 1)(x+2)
• (x+3)(x+1)(x+2)
• (3x-1)(x+1)(x+2)
• (x-2)(x+2)(x+1)

f(x) = x⁴ - 5x³-8x +40;  one zero is 5.  Find all zeros.

• 2, 5, -1±i√3
• -2, 5, -1±i√3
• 2,5, 1±i√3
• 2,5, -1±3i

State all of the possible rational zeros.  Do NOT Solve
f(x) = 3x³-26x²-45x-12

• ±(1,2,3,4,6,12,1/3,2/3,4/3)
• ±(1,2,3,4,6,12)
• ±(2,3,4,6,12,1/3,2/3,4/3)
• ±(1,2,3,4,6,12,1/2)

Tags

CCSS.HSA.APR.B.2

Divide using either long or synthetic division.
(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9
• 2x² - x + 1
• 2x² - x + 1 + 9/x-2
• 2x² - 9x - 15 - 23/x-2

Tags

CCSS.HSA.APR.D.6

Divide using long or synthetic division.
(3x³ + 5x - 1) ÷ (x + 1)

• 3x³ - 3x² + 8x - 9
• 3x² - 3x + 8 - 9/x+1
• 3x² + 3x + 8 + 7/x+1
• 3x³ + 3x² + 8x + 7

Tags

CCSS.HSA.APR.D.6

• 7m³ - 2m²n⁶ + 3mn⁸
• 36
• 7m³ - 6m⁶n⁷ + 9m⁵n⁹
• 7m¹¹ - 2m¹⁰n⁸ + 3m⁹n¹⁰

Tags

CCSS.HSA.APR.D.6

Divide using Long or Synthetic Division:
(4x² - 24x + 35) ÷ (2x - 5)

• 2x - 7
• 2x - 12
• 2x + 12
• 2x + 7

Tags

CCSS.HSA.APR.D.6

Write the polynomial with the given zeros

• A

• B

• C

• D

Tags

CCSS.HSA.APR.B.3

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Solve by using Rational Root Theorem: 
2x³ - 11x² + 12x + 9 = 0

• -1, 1, 3
• -1, 3/2, 3 
• -1/2, 3, 3
• -1/2, 1, 3

Tags

CCSS.HSA.APR.B.2